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Finding the Third Proportional to 24,454.50 and 40,461

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Solution

The third proportional to 24,454.50 and 40,461 is: 66,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.50 : 40,461 = 40,461 : x
  2. Step 2: Convert to fraction form
    24,454.50/40,461 = 40,461/x
  3. Step 3: Cross multiply
    24,454.50x = 40,461 × 40,461
  4. Step 4: Simplify right side
    24,454.50x = 1,637,092,521
  5. Step 5: Solve for x
    x = 1,637,092,521/24,454.50
  6. Step 6: Final answer
    x = 66,944.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.