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Finding the Third Proportional to 6,712 and 7,312

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Solution

The third proportional to 6,712 and 7,312 is: 7,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712 : 7,312 = 7,312 : x
  2. Step 2: Convert to fraction form
    6,712/7,312 = 7,312/x
  3. Step 3: Cross multiply
    6,712x = 7,312 × 7,312
  4. Step 4: Simplify right side
    6,712x = 53,465,344
  5. Step 5: Solve for x
    x = 53,465,344/6,712
  6. Step 6: Final answer
    x = 7,965.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.