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Finding the Third Proportional to 9,475.31 and 14,608.69

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Solution

The third proportional to 9,475.31 and 14,608.69 is: 22,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.31 : 14,608.69 = 14,608.69 : x
  2. Step 2: Convert to fraction form
    9,475.31/14,608.69 = 14,608.69/x
  3. Step 3: Cross multiply
    9,475.31x = 14,608.69 × 14,608.69
  4. Step 4: Simplify right side
    9,475.31x = 213,413,750.47
  5. Step 5: Solve for x
    x = 213,413,750.47/9,475.31
  6. Step 6: Final answer
    x = 22,523.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.