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Finding the Third Proportional to 34,860 and 52,370

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Solution

The third proportional to 34,860 and 52,370 is: 78,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,860 : 52,370 = 52,370 : x
  2. Step 2: Convert to fraction form
    34,860/52,370 = 52,370/x
  3. Step 3: Cross multiply
    34,860x = 52,370 × 52,370
  4. Step 4: Simplify right side
    34,860x = 2,742,616,900
  5. Step 5: Solve for x
    x = 2,742,616,900/34,860
  6. Step 6: Final answer
    x = 78,675.18

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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.