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Finding the Third Proportional to 34,528 and 52,520

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Solution

The third proportional to 34,528 and 52,520 is: 79,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,528 : 52,520 = 52,520 : x
  2. Step 2: Convert to fraction form
    34,528/52,520 = 52,520/x
  3. Step 3: Cross multiply
    34,528x = 52,520 × 52,520
  4. Step 4: Simplify right side
    34,528x = 2,758,350,400
  5. Step 5: Solve for x
    x = 2,758,350,400/34,528
  6. Step 6: Final answer
    x = 79,887.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.