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Finding the Third Proportional to 34,470 and 55,314

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Solution

The third proportional to 34,470 and 55,314 is: 88,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,470 : 55,314 = 55,314 : x
  2. Step 2: Convert to fraction form
    34,470/55,314 = 55,314/x
  3. Step 3: Cross multiply
    34,470x = 55,314 × 55,314
  4. Step 4: Simplify right side
    34,470x = 3,059,638,596
  5. Step 5: Solve for x
    x = 3,059,638,596/34,470
  6. Step 6: Final answer
    x = 88,762.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.