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Finding the Third Proportional to 24,109.13 and 52,888.50

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Solution

The third proportional to 24,109.13 and 52,888.50 is: 116,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.13 : 52,888.50 = 52,888.50 : x
  2. Step 2: Convert to fraction form
    24,109.13/52,888.50 = 52,888.50/x
  3. Step 3: Cross multiply
    24,109.13x = 52,888.50 × 52,888.50
  4. Step 4: Simplify right side
    24,109.13x = 2,797,193,432.25
  5. Step 5: Solve for x
    x = 2,797,193,432.25/24,109.13
  6. Step 6: Final answer
    x = 116,022.19

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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.