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Finding the Third Proportional to 10,513.55 and 24,672.09

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Solution

The third proportional to 10,513.55 and 24,672.09 is: 57,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.55 : 24,672.09 = 24,672.09 : x
  2. Step 2: Convert to fraction form
    10,513.55/24,672.09 = 24,672.09/x
  3. Step 3: Cross multiply
    10,513.55x = 24,672.09 × 24,672.09
  4. Step 4: Simplify right side
    10,513.55x = 608,712,210.01
  5. Step 5: Solve for x
    x = 608,712,210.01/10,513.55
  6. Step 6: Final answer
    x = 57,897.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.