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Finding the Third Proportional to 747.66 and 1,637.06

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Solution

The third proportional to 747.66 and 1,637.06 is: 3,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.66 : 1,637.06 = 1,637.06 : x
  2. Step 2: Convert to fraction form
    747.66/1,637.06 = 1,637.06/x
  3. Step 3: Cross multiply
    747.66x = 1,637.06 × 1,637.06
  4. Step 4: Simplify right side
    747.66x = 2,679,973.63
  5. Step 5: Solve for x
    x = 2,679,973.63/747.66
  6. Step 6: Final answer
    x = 3,584.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.