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Finding the Third Proportional to 34,513 and 53,442

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Solution

The third proportional to 34,513 and 53,442 is: 82,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513 : 53,442 = 53,442 : x
  2. Step 2: Convert to fraction form
    34,513/53,442 = 53,442/x
  3. Step 3: Cross multiply
    34,513x = 53,442 × 53,442
  4. Step 4: Simplify right side
    34,513x = 2,856,047,364
  5. Step 5: Solve for x
    x = 2,856,047,364/34,513
  6. Step 6: Final answer
    x = 82,752.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.