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Finding the Third Proportional to 1,176.47 and 2,538.28

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Solution

The third proportional to 1,176.47 and 2,538.28 is: 5,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.47 : 2,538.28 = 2,538.28 : x
  2. Step 2: Convert to fraction form
    1,176.47/2,538.28 = 2,538.28/x
  3. Step 3: Cross multiply
    1,176.47x = 2,538.28 × 2,538.28
  4. Step 4: Simplify right side
    1,176.47x = 6,442,871.70
  5. Step 5: Solve for x
    x = 6,442,871.70/1,176.47
  6. Step 6: Final answer
    x = 5,476.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.