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Finding the Third Proportional to 40,897 and 57,995.50

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Solution

The third proportional to 40,897 and 57,995.50 is: 82,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,897 : 57,995.50 = 57,995.50 : x
  2. Step 2: Convert to fraction form
    40,897/57,995.50 = 57,995.50/x
  3. Step 3: Cross multiply
    40,897x = 57,995.50 × 57,995.50
  4. Step 4: Simplify right side
    40,897x = 3,363,478,020.25
  5. Step 5: Solve for x
    x = 3,363,478,020.25/40,897
  6. Step 6: Final answer
    x = 82,242.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.