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Finding the Third Proportional to 10,232.50 and 15,800.75

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Solution

The third proportional to 10,232.50 and 15,800.75 is: 24,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.50 : 15,800.75 = 15,800.75 : x
  2. Step 2: Convert to fraction form
    10,232.50/15,800.75 = 15,800.75/x
  3. Step 3: Cross multiply
    10,232.50x = 15,800.75 × 15,800.75
  4. Step 4: Simplify right side
    10,232.50x = 249,663,700.56
  5. Step 5: Solve for x
    x = 249,663,700.56/10,232.50
  6. Step 6: Final answer
    x = 24,399.09

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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.