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Finding the Third Proportional to 34,070 and 52,689

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Solution

The third proportional to 34,070 and 52,689 is: 81,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,070 : 52,689 = 52,689 : x
  2. Step 2: Convert to fraction form
    34,070/52,689 = 52,689/x
  3. Step 3: Cross multiply
    34,070x = 52,689 × 52,689
  4. Step 4: Simplify right side
    34,070x = 2,776,130,721
  5. Step 5: Solve for x
    x = 2,776,130,721/34,070
  6. Step 6: Final answer
    x = 81,483.14

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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.