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Finding the Third Proportional to 10,030.29 and 15,522.47

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Solution

The third proportional to 10,030.29 and 15,522.47 is: 24,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.29 : 15,522.47 = 15,522.47 : x
  2. Step 2: Convert to fraction form
    10,030.29/15,522.47 = 15,522.47/x
  3. Step 3: Cross multiply
    10,030.29x = 15,522.47 × 15,522.47
  4. Step 4: Simplify right side
    10,030.29x = 240,947,036.09
  5. Step 5: Solve for x
    x = 240,947,036.09/10,030.29
  6. Step 6: Final answer
    x = 24,021.94

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