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Finding the Third Proportional to 3,534.47 and 5,291.16

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Solution

The third proportional to 3,534.47 and 5,291.16 is: 7,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.47 : 5,291.16 = 5,291.16 : x
  2. Step 2: Convert to fraction form
    3,534.47/5,291.16 = 5,291.16/x
  3. Step 3: Cross multiply
    3,534.47x = 5,291.16 × 5,291.16
  4. Step 4: Simplify right side
    3,534.47x = 27,996,334.46
  5. Step 5: Solve for x
    x = 27,996,334.46/3,534.47
  6. Step 6: Final answer
    x = 7,920.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.