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Finding the Third Proportional to 24,316.45 and 53,246.11

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Solution

The third proportional to 24,316.45 and 53,246.11 is: 116,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.45 : 53,246.11 = 53,246.11 : x
  2. Step 2: Convert to fraction form
    24,316.45/53,246.11 = 53,246.11/x
  3. Step 3: Cross multiply
    24,316.45x = 53,246.11 × 53,246.11
  4. Step 4: Simplify right side
    24,316.45x = 2,835,148,163.57
  5. Step 5: Solve for x
    x = 2,835,148,163.57/24,316.45
  6. Step 6: Final answer
    x = 116,593.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.