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Finding the Third Proportional to 4,726.13 and 7,846.13

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Solution

The third proportional to 4,726.13 and 7,846.13 is: 13,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.13 : 7,846.13 = 7,846.13 : x
  2. Step 2: Convert to fraction form
    4,726.13/7,846.13 = 7,846.13/x
  3. Step 3: Cross multiply
    4,726.13x = 7,846.13 × 7,846.13
  4. Step 4: Simplify right side
    4,726.13x = 61,561,677.52
  5. Step 5: Solve for x
    x = 61,561,677.52/4,726.13
  6. Step 6: Final answer
    x = 13,025.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.