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Finding the Third Proportional to 3,146.25 and 4,627.88

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Solution

The third proportional to 3,146.25 and 4,627.88 is: 6,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.25 : 4,627.88 = 4,627.88 : x
  2. Step 2: Convert to fraction form
    3,146.25/4,627.88 = 4,627.88/x
  3. Step 3: Cross multiply
    3,146.25x = 4,627.88 × 4,627.88
  4. Step 4: Simplify right side
    3,146.25x = 21,417,227.02
  5. Step 5: Solve for x
    x = 21,417,227.02/3,146.25
  6. Step 6: Final answer
    x = 6,807.22

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Why These Related Problems?

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