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Finding the Third Proportional to 22,494 and 35,746

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Solution

The third proportional to 22,494 and 35,746 is: 56,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494 : 35,746 = 35,746 : x
  2. Step 2: Convert to fraction form
    22,494/35,746 = 35,746/x
  3. Step 3: Cross multiply
    22,494x = 35,746 × 35,746
  4. Step 4: Simplify right side
    22,494x = 1,277,776,516
  5. Step 5: Solve for x
    x = 1,277,776,516/22,494
  6. Step 6: Final answer
    x = 56,805.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.