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Finding the Third Proportional to 24,702 and 36,121.50

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Solution

The third proportional to 24,702 and 36,121.50 is: 52,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702 : 36,121.50 = 36,121.50 : x
  2. Step 2: Convert to fraction form
    24,702/36,121.50 = 36,121.50/x
  3. Step 3: Cross multiply
    24,702x = 36,121.50 × 36,121.50
  4. Step 4: Simplify right side
    24,702x = 1,304,762,762.25
  5. Step 5: Solve for x
    x = 1,304,762,762.25/24,702
  6. Step 6: Final answer
    x = 52,820.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.