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Finding the Third Proportional to 5,113.13 and 5,267.53

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Solution

The third proportional to 5,113.13 and 5,267.53 is: 5,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.13 : 5,267.53 = 5,267.53 : x
  2. Step 2: Convert to fraction form
    5,113.13/5,267.53 = 5,267.53/x
  3. Step 3: Cross multiply
    5,113.13x = 5,267.53 × 5,267.53
  4. Step 4: Simplify right side
    5,113.13x = 27,746,885.47
  5. Step 5: Solve for x
    x = 27,746,885.47/5,113.13
  6. Step 6: Final answer
    x = 5,426.60

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.