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Finding the Third Proportional to 3,242.25 and 4,927.50

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Solution

The third proportional to 3,242.25 and 4,927.50 is: 7,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.25 : 4,927.50 = 4,927.50 : x
  2. Step 2: Convert to fraction form
    3,242.25/4,927.50 = 4,927.50/x
  3. Step 3: Cross multiply
    3,242.25x = 4,927.50 × 4,927.50
  4. Step 4: Simplify right side
    3,242.25x = 24,280,256.25
  5. Step 5: Solve for x
    x = 24,280,256.25/3,242.25
  6. Step 6: Final answer
    x = 7,488.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.