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Finding the Third Proportional to 6,970 and 7,988

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Solution

The third proportional to 6,970 and 7,988 is: 9,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970 : 7,988 = 7,988 : x
  2. Step 2: Convert to fraction form
    6,970/7,988 = 7,988/x
  3. Step 3: Cross multiply
    6,970x = 7,988 × 7,988
  4. Step 4: Simplify right side
    6,970x = 63,808,144
  5. Step 5: Solve for x
    x = 63,808,144/6,970
  6. Step 6: Final answer
    x = 9,154.68

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.