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Finding the Third Proportional to 10,214.72 and 15,619.08

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Solution

The third proportional to 10,214.72 and 15,619.08 is: 23,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.72 : 15,619.08 = 15,619.08 : x
  2. Step 2: Convert to fraction form
    10,214.72/15,619.08 = 15,619.08/x
  3. Step 3: Cross multiply
    10,214.72x = 15,619.08 × 15,619.08
  4. Step 4: Simplify right side
    10,214.72x = 243,955,601.47
  5. Step 5: Solve for x
    x = 243,955,601.47/10,214.72
  6. Step 6: Final answer
    x = 23,882.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.