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Finding the Third Proportional to 22,301 and 29,746

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Solution

The third proportional to 22,301 and 29,746 is: 39,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301 : 29,746 = 29,746 : x
  2. Step 2: Convert to fraction form
    22,301/29,746 = 29,746/x
  3. Step 3: Cross multiply
    22,301x = 29,746 × 29,746
  4. Step 4: Simplify right side
    22,301x = 884,824,516
  5. Step 5: Solve for x
    x = 884,824,516/22,301
  6. Step 6: Final answer
    x = 39,676.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.