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Finding the Third Proportional to 10,042.31 and 14,770.69

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Solution

The third proportional to 10,042.31 and 14,770.69 is: 21,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.31 : 14,770.69 = 14,770.69 : x
  2. Step 2: Convert to fraction form
    10,042.31/14,770.69 = 14,770.69/x
  3. Step 3: Cross multiply
    10,042.31x = 14,770.69 × 14,770.69
  4. Step 4: Simplify right side
    10,042.31x = 218,173,209.22
  5. Step 5: Solve for x
    x = 218,173,209.22/10,042.31
  6. Step 6: Final answer
    x = 21,725.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.