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Finding the Third Proportional to 731.30 and 1,726.36

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Solution

The third proportional to 731.30 and 1,726.36 is: 4,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.30 : 1,726.36 = 1,726.36 : x
  2. Step 2: Convert to fraction form
    731.30/1,726.36 = 1,726.36/x
  3. Step 3: Cross multiply
    731.30x = 1,726.36 × 1,726.36
  4. Step 4: Simplify right side
    731.30x = 2,980,316.69
  5. Step 5: Solve for x
    x = 2,980,316.69/731.30
  6. Step 6: Final answer
    x = 4,075.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.