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Finding the Third Proportional to 23,306 and 29,937

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Solution

The third proportional to 23,306 and 29,937 is: 38,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,306 : 29,937 = 29,937 : x
  2. Step 2: Convert to fraction form
    23,306/29,937 = 29,937/x
  3. Step 3: Cross multiply
    23,306x = 29,937 × 29,937
  4. Step 4: Simplify right side
    23,306x = 896,223,969
  5. Step 5: Solve for x
    x = 896,223,969/23,306
  6. Step 6: Final answer
    x = 38,454.65

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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.