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Finding the Third Proportional to 36,495 and 52,737.75

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Solution

The third proportional to 36,495 and 52,737.75 is: 76,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,495 : 52,737.75 = 52,737.75 : x
  2. Step 2: Convert to fraction form
    36,495/52,737.75 = 52,737.75/x
  3. Step 3: Cross multiply
    36,495x = 52,737.75 × 52,737.75
  4. Step 4: Simplify right side
    36,495x = 2,781,270,275.06
  5. Step 5: Solve for x
    x = 2,781,270,275.06/36,495
  6. Step 6: Final answer
    x = 76,209.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.