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Finding the Third Proportional to 29,574 and 45,920

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Solution

The third proportional to 29,574 and 45,920 is: 71,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574 : 45,920 = 45,920 : x
  2. Step 2: Convert to fraction form
    29,574/45,920 = 45,920/x
  3. Step 3: Cross multiply
    29,574x = 45,920 × 45,920
  4. Step 4: Simplify right side
    29,574x = 2,108,646,400
  5. Step 5: Solve for x
    x = 2,108,646,400/29,574
  6. Step 6: Final answer
    x = 71,300.68

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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.