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Finding the Third Proportional to 23,064.75 and 29,472.38

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Solution

The third proportional to 23,064.75 and 29,472.38 is: 37,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064.75 : 29,472.38 = 29,472.38 : x
  2. Step 2: Convert to fraction form
    23,064.75/29,472.38 = 29,472.38/x
  3. Step 3: Cross multiply
    23,064.75x = 29,472.38 × 29,472.38
  4. Step 4: Simplify right side
    23,064.75x = 868,620,888.14
  5. Step 5: Solve for x
    x = 868,620,888.14/23,064.75
  6. Step 6: Final answer
    x = 37,660.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.