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Finding the Third Proportional to 4,864.13 and 7,600.13

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Solution

The third proportional to 4,864.13 and 7,600.13 is: 11,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.13 : 7,600.13 = 7,600.13 : x
  2. Step 2: Convert to fraction form
    4,864.13/7,600.13 = 7,600.13/x
  3. Step 3: Cross multiply
    4,864.13x = 7,600.13 × 7,600.13
  4. Step 4: Simplify right side
    4,864.13x = 57,761,900.02
  5. Step 5: Solve for x
    x = 57,761,900.02/4,864.13
  6. Step 6: Final answer
    x = 11,875.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.