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Finding the Third Proportional to 10,030.97 and 15,523.78

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Solution

The third proportional to 10,030.97 and 15,523.78 is: 24,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.97 : 15,523.78 = 15,523.78 : x
  2. Step 2: Convert to fraction form
    10,030.97/15,523.78 = 15,523.78/x
  3. Step 3: Cross multiply
    10,030.97x = 15,523.78 × 15,523.78
  4. Step 4: Simplify right side
    10,030.97x = 240,987,784.30
  5. Step 5: Solve for x
    x = 240,987,784.30/10,030.97
  6. Step 6: Final answer
    x = 24,024.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.