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Finding the Third Proportional to 3,726.84 and 4,838.06

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Solution

The third proportional to 3,726.84 and 4,838.06 is: 6,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.84 : 4,838.06 = 4,838.06 : x
  2. Step 2: Convert to fraction form
    3,726.84/4,838.06 = 4,838.06/x
  3. Step 3: Cross multiply
    3,726.84x = 4,838.06 × 4,838.06
  4. Step 4: Simplify right side
    3,726.84x = 23,406,848.75
  5. Step 5: Solve for x
    x = 23,406,848.75/3,726.84
  6. Step 6: Final answer
    x = 6,280.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.