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Finding the Third Proportional to 3,075.47 and 6,549.61

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Solution

The third proportional to 3,075.47 and 6,549.61 is: 13,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.47 : 6,549.61 = 6,549.61 : x
  2. Step 2: Convert to fraction form
    3,075.47/6,549.61 = 6,549.61/x
  3. Step 3: Cross multiply
    3,075.47x = 6,549.61 × 6,549.61
  4. Step 4: Simplify right side
    3,075.47x = 42,897,382.97
  5. Step 5: Solve for x
    x = 42,897,382.97/3,075.47
  6. Step 6: Final answer
    x = 13,948.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.