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Finding the Third Proportional to 24,031 and 36,957

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Solution

The third proportional to 24,031 and 36,957 is: 56,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031 : 36,957 = 36,957 : x
  2. Step 2: Convert to fraction form
    24,031/36,957 = 36,957/x
  3. Step 3: Cross multiply
    24,031x = 36,957 × 36,957
  4. Step 4: Simplify right side
    24,031x = 1,365,819,849
  5. Step 5: Solve for x
    x = 1,365,819,849/24,031
  6. Step 6: Final answer
    x = 56,835.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.