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Finding the Third Proportional to 7,394 and 7,970

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Solution

The third proportional to 7,394 and 7,970 is: 8,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394 : 7,970 = 7,970 : x
  2. Step 2: Convert to fraction form
    7,394/7,970 = 7,970/x
  3. Step 3: Cross multiply
    7,394x = 7,970 × 7,970
  4. Step 4: Simplify right side
    7,394x = 63,520,900
  5. Step 5: Solve for x
    x = 63,520,900/7,394
  6. Step 6: Final answer
    x = 8,590.87

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.