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Finding the Third Proportional to 14,377.04 and 31,419.46

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Solution

The third proportional to 14,377.04 and 31,419.46 is: 68,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.04 : 31,419.46 = 31,419.46 : x
  2. Step 2: Convert to fraction form
    14,377.04/31,419.46 = 31,419.46/x
  3. Step 3: Cross multiply
    14,377.04x = 31,419.46 × 31,419.46
  4. Step 4: Simplify right side
    14,377.04x = 987,182,525.60
  5. Step 5: Solve for x
    x = 987,182,525.60/14,377.04
  6. Step 6: Final answer
    x = 68,663.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.