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Finding the Third Proportional to 44,282 and 65,791

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Solution

The third proportional to 44,282 and 65,791 is: 97,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,282 : 65,791 = 65,791 : x
  2. Step 2: Convert to fraction form
    44,282/65,791 = 65,791/x
  3. Step 3: Cross multiply
    44,282x = 65,791 × 65,791
  4. Step 4: Simplify right side
    44,282x = 4,328,455,681
  5. Step 5: Solve for x
    x = 4,328,455,681/44,282
  6. Step 6: Final answer
    x = 97,747.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.