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Finding the Third Proportional to 10,429.59 and 15,250.78

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Solution

The third proportional to 10,429.59 and 15,250.78 is: 22,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.59 : 15,250.78 = 15,250.78 : x
  2. Step 2: Convert to fraction form
    10,429.59/15,250.78 = 15,250.78/x
  3. Step 3: Cross multiply
    10,429.59x = 15,250.78 × 15,250.78
  4. Step 4: Simplify right side
    10,429.59x = 232,586,328.74
  5. Step 5: Solve for x
    x = 232,586,328.74/10,429.59
  6. Step 6: Final answer
    x = 22,300.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.