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Finding the Third Proportional to 5,726.50 and 8,385

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Solution

The third proportional to 5,726.50 and 8,385 is: 12,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.50 : 8,385 = 8,385 : x
  2. Step 2: Convert to fraction form
    5,726.50/8,385 = 8,385/x
  3. Step 3: Cross multiply
    5,726.50x = 8,385 × 8,385
  4. Step 4: Simplify right side
    5,726.50x = 70,308,225
  5. Step 5: Solve for x
    x = 70,308,225/5,726.50
  6. Step 6: Final answer
    x = 12,277.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.