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Finding the Third Proportional to 34,614 and 74,776

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Solution

The third proportional to 34,614 and 74,776 is: 161,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614 : 74,776 = 74,776 : x
  2. Step 2: Convert to fraction form
    34,614/74,776 = 74,776/x
  3. Step 3: Cross multiply
    34,614x = 74,776 × 74,776
  4. Step 4: Simplify right side
    34,614x = 5,591,450,176
  5. Step 5: Solve for x
    x = 5,591,450,176/34,614
  6. Step 6: Final answer
    x = 161,537.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.