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Finding the Third Proportional to 726.50 and 1,572.25

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Solution

The third proportional to 726.50 and 1,572.25 is: 3,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.50 : 1,572.25 = 1,572.25 : x
  2. Step 2: Convert to fraction form
    726.50/1,572.25 = 1,572.25/x
  3. Step 3: Cross multiply
    726.50x = 1,572.25 × 1,572.25
  4. Step 4: Simplify right side
    726.50x = 2,471,970.06
  5. Step 5: Solve for x
    x = 2,471,970.06/726.50
  6. Step 6: Final answer
    x = 3,402.57

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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.