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Finding the Third Proportional to 3,301.31 and 4,987.69

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Solution

The third proportional to 3,301.31 and 4,987.69 is: 7,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.31 : 4,987.69 = 4,987.69 : x
  2. Step 2: Convert to fraction form
    3,301.31/4,987.69 = 4,987.69/x
  3. Step 3: Cross multiply
    3,301.31x = 4,987.69 × 4,987.69
  4. Step 4: Simplify right side
    3,301.31x = 24,877,026.60
  5. Step 5: Solve for x
    x = 24,877,026.60/3,301.31
  6. Step 6: Final answer
    x = 7,535.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.