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Finding the Third Proportional to 36,417 and 54,959

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Solution

The third proportional to 36,417 and 54,959 is: 82,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,417 : 54,959 = 54,959 : x
  2. Step 2: Convert to fraction form
    36,417/54,959 = 54,959/x
  3. Step 3: Cross multiply
    36,417x = 54,959 × 54,959
  4. Step 4: Simplify right side
    36,417x = 3,020,491,681
  5. Step 5: Solve for x
    x = 3,020,491,681/36,417
  6. Step 6: Final answer
    x = 82,941.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.