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Finding the Third Proportional to 4,712 and 8,785

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Solution

The third proportional to 4,712 and 8,785 is: 16,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712 : 8,785 = 8,785 : x
  2. Step 2: Convert to fraction form
    4,712/8,785 = 8,785/x
  3. Step 3: Cross multiply
    4,712x = 8,785 × 8,785
  4. Step 4: Simplify right side
    4,712x = 77,176,225
  5. Step 5: Solve for x
    x = 77,176,225/4,712
  6. Step 6: Final answer
    x = 16,378.66

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.