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Finding the Third Proportional to 10,132.94 and 14,434.55

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Solution

The third proportional to 10,132.94 and 14,434.55 is: 20,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.94 : 14,434.55 = 14,434.55 : x
  2. Step 2: Convert to fraction form
    10,132.94/14,434.55 = 14,434.55/x
  3. Step 3: Cross multiply
    10,132.94x = 14,434.55 × 14,434.55
  4. Step 4: Simplify right side
    10,132.94x = 208,356,148.77
  5. Step 5: Solve for x
    x = 208,356,148.77/10,132.94
  6. Step 6: Final answer
    x = 20,562.26

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.