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Finding the Third Proportional to 10,051.59 and 15,077.39

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Solution

The third proportional to 10,051.59 and 15,077.39 is: 22,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.59 : 15,077.39 = 15,077.39 : x
  2. Step 2: Convert to fraction form
    10,051.59/15,077.39 = 15,077.39/x
  3. Step 3: Cross multiply
    10,051.59x = 15,077.39 × 15,077.39
  4. Step 4: Simplify right side
    10,051.59x = 227,327,708.06
  5. Step 5: Solve for x
    x = 227,327,708.06/10,051.59
  6. Step 6: Final answer
    x = 22,616.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.