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Finding the Third Proportional to 34,462.50 and 74,574

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Solution

The third proportional to 34,462.50 and 74,574 is: 161,371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,462.50 : 74,574 = 74,574 : x
  2. Step 2: Convert to fraction form
    34,462.50/74,574 = 74,574/x
  3. Step 3: Cross multiply
    34,462.50x = 74,574 × 74,574
  4. Step 4: Simplify right side
    34,462.50x = 5,561,281,476
  5. Step 5: Solve for x
    x = 5,561,281,476/34,462.50
  6. Step 6: Final answer
    x = 161,371.97

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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.