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Finding the Third Proportional to 25,158.09 and 53,310.66

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Solution

The third proportional to 25,158.09 and 53,310.66 is: 112,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,158.09 : 53,310.66 = 53,310.66 : x
  2. Step 2: Convert to fraction form
    25,158.09/53,310.66 = 53,310.66/x
  3. Step 3: Cross multiply
    25,158.09x = 53,310.66 × 53,310.66
  4. Step 4: Simplify right side
    25,158.09x = 2,842,026,069.81
  5. Step 5: Solve for x
    x = 2,842,026,069.81/25,158.09
  6. Step 6: Final answer
    x = 112,966.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.