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Finding the Third Proportional to 3,215.95 and 3,962.04

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Solution

The third proportional to 3,215.95 and 3,962.04 is: 4,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.95 : 3,962.04 = 3,962.04 : x
  2. Step 2: Convert to fraction form
    3,215.95/3,962.04 = 3,962.04/x
  3. Step 3: Cross multiply
    3,215.95x = 3,962.04 × 3,962.04
  4. Step 4: Simplify right side
    3,215.95x = 15,697,753.53
  5. Step 5: Solve for x
    x = 15,697,753.53/3,215.95
  6. Step 6: Final answer
    x = 4,881.21

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.