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Finding the Third Proportional to 10,034.06 and 15,428.91

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Solution

The third proportional to 10,034.06 and 15,428.91 is: 23,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.06 : 15,428.91 = 15,428.91 : x
  2. Step 2: Convert to fraction form
    10,034.06/15,428.91 = 15,428.91/x
  3. Step 3: Cross multiply
    10,034.06x = 15,428.91 × 15,428.91
  4. Step 4: Simplify right side
    10,034.06x = 238,051,148.07
  5. Step 5: Solve for x
    x = 238,051,148.07/10,034.06
  6. Step 6: Final answer
    x = 23,724.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.