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Finding the Third Proportional to 10,308.52 and 15,462.77

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Solution

The third proportional to 10,308.52 and 15,462.77 is: 23,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.52 : 15,462.77 = 15,462.77 : x
  2. Step 2: Convert to fraction form
    10,308.52/15,462.77 = 15,462.77/x
  3. Step 3: Cross multiply
    10,308.52x = 15,462.77 × 15,462.77
  4. Step 4: Simplify right side
    10,308.52x = 239,097,362.38
  5. Step 5: Solve for x
    x = 239,097,362.38/10,308.52
  6. Step 6: Final answer
    x = 23,194.16

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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.