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Finding the Third Proportional to 4,869.49 and 7,270.07

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Solution

The third proportional to 4,869.49 and 7,270.07 is: 10,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.49 : 7,270.07 = 7,270.07 : x
  2. Step 2: Convert to fraction form
    4,869.49/7,270.07 = 7,270.07/x
  3. Step 3: Cross multiply
    4,869.49x = 7,270.07 × 7,270.07
  4. Step 4: Simplify right side
    4,869.49x = 52,853,865.55
  5. Step 5: Solve for x
    x = 52,853,865.55/4,869.49
  6. Step 6: Final answer
    x = 10,854.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.