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Finding the Third Proportional to 5,496.19 and 6,248.81

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Solution

The third proportional to 5,496.19 and 6,248.81 is: 7,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.19 : 6,248.81 = 6,248.81 : x
  2. Step 2: Convert to fraction form
    5,496.19/6,248.81 = 6,248.81/x
  3. Step 3: Cross multiply
    5,496.19x = 6,248.81 × 6,248.81
  4. Step 4: Simplify right side
    5,496.19x = 39,047,657.66
  5. Step 5: Solve for x
    x = 39,047,657.66/5,496.19
  6. Step 6: Final answer
    x = 7,104.50

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.