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Finding the Third Proportional to 6,712 and 10,315

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Solution

The third proportional to 6,712 and 10,315 is: 15,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712 : 10,315 = 10,315 : x
  2. Step 2: Convert to fraction form
    6,712/10,315 = 10,315/x
  3. Step 3: Cross multiply
    6,712x = 10,315 × 10,315
  4. Step 4: Simplify right side
    6,712x = 106,399,225
  5. Step 5: Solve for x
    x = 106,399,225/6,712
  6. Step 6: Final answer
    x = 15,852.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.