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Finding the Third Proportional to 7,398 and 9,967.43

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Solution

The third proportional to 7,398 and 9,967.43 is: 13,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398 : 9,967.43 = 9,967.43 : x
  2. Step 2: Convert to fraction form
    7,398/9,967.43 = 9,967.43/x
  3. Step 3: Cross multiply
    7,398x = 9,967.43 × 9,967.43
  4. Step 4: Simplify right side
    7,398x = 99,349,654.58
  5. Step 5: Solve for x
    x = 99,349,654.58/7,398
  6. Step 6: Final answer
    x = 13,429.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.