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Finding the Third Proportional to 3,036.75 and 3,988.13

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Solution

The third proportional to 3,036.75 and 3,988.13 is: 5,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.75 : 3,988.13 = 3,988.13 : x
  2. Step 2: Convert to fraction form
    3,036.75/3,988.13 = 3,988.13/x
  3. Step 3: Cross multiply
    3,036.75x = 3,988.13 × 3,988.13
  4. Step 4: Simplify right side
    3,036.75x = 15,905,141.02
  5. Step 5: Solve for x
    x = 15,905,141.02/3,036.75
  6. Step 6: Final answer
    x = 5,237.55

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.