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Finding the Third Proportional to 15,297.19 and 22,354.31

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Solution

The third proportional to 15,297.19 and 22,354.31 is: 32,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.19 : 22,354.31 = 22,354.31 : x
  2. Step 2: Convert to fraction form
    15,297.19/22,354.31 = 22,354.31/x
  3. Step 3: Cross multiply
    15,297.19x = 22,354.31 × 22,354.31
  4. Step 4: Simplify right side
    15,297.19x = 499,715,287.35
  5. Step 5: Solve for x
    x = 499,715,287.35/15,297.19
  6. Step 6: Final answer
    x = 32,667.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.