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Finding the Third Proportional to 1,159.95 and 2,549.60

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Solution

The third proportional to 1,159.95 and 2,549.60 is: 5,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.95 : 2,549.60 = 2,549.60 : x
  2. Step 2: Convert to fraction form
    1,159.95/2,549.60 = 2,549.60/x
  3. Step 3: Cross multiply
    1,159.95x = 2,549.60 × 2,549.60
  4. Step 4: Simplify right side
    1,159.95x = 6,500,468.13
  5. Step 5: Solve for x
    x = 6,500,468.13/1,159.95
  6. Step 6: Final answer
    x = 5,604.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.