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Finding the Third Proportional to 34,746 and 53,769

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Solution

The third proportional to 34,746 and 53,769 is: 83,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746 : 53,769 = 53,769 : x
  2. Step 2: Convert to fraction form
    34,746/53,769 = 53,769/x
  3. Step 3: Cross multiply
    34,746x = 53,769 × 53,769
  4. Step 4: Simplify right side
    34,746x = 2,891,105,361
  5. Step 5: Solve for x
    x = 2,891,105,361/34,746
  6. Step 6: Final answer
    x = 83,206.85

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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.