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Finding the Third Proportional to 3,015 and 3,973.50

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Solution

The third proportional to 3,015 and 3,973.50 is: 5,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015 : 3,973.50 = 3,973.50 : x
  2. Step 2: Convert to fraction form
    3,015/3,973.50 = 3,973.50/x
  3. Step 3: Cross multiply
    3,015x = 3,973.50 × 3,973.50
  4. Step 4: Simplify right side
    3,015x = 15,788,702.25
  5. Step 5: Solve for x
    x = 15,788,702.25/3,015
  6. Step 6: Final answer
    x = 5,236.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.