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Finding the Third Proportional to 7,549.13 and 11,101.63

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Solution

The third proportional to 7,549.13 and 11,101.63 is: 16,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.13 : 11,101.63 = 11,101.63 : x
  2. Step 2: Convert to fraction form
    7,549.13/11,101.63 = 11,101.63/x
  3. Step 3: Cross multiply
    7,549.13x = 11,101.63 × 11,101.63
  4. Step 4: Simplify right side
    7,549.13x = 123,246,077.64
  5. Step 5: Solve for x
    x = 123,246,077.64/7,549.13
  6. Step 6: Final answer
    x = 16,325.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.