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Finding the Third Proportional to 34,788 and 52,342

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Solution

The third proportional to 34,788 and 52,342 is: 78,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,788 : 52,342 = 52,342 : x
  2. Step 2: Convert to fraction form
    34,788/52,342 = 52,342/x
  3. Step 3: Cross multiply
    34,788x = 52,342 × 52,342
  4. Step 4: Simplify right side
    34,788x = 2,739,684,964
  5. Step 5: Solve for x
    x = 2,739,684,964/34,788
  6. Step 6: Final answer
    x = 78,753.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.