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Finding the Third Proportional to 4,946 and 8,315

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Solution

The third proportional to 4,946 and 8,315 is: 13,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946 : 8,315 = 8,315 : x
  2. Step 2: Convert to fraction form
    4,946/8,315 = 8,315/x
  3. Step 3: Cross multiply
    4,946x = 8,315 × 8,315
  4. Step 4: Simplify right side
    4,946x = 69,139,225
  5. Step 5: Solve for x
    x = 69,139,225/4,946
  6. Step 6: Final answer
    x = 13,978.82

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.