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Finding the Third Proportional to 15,175.34 and 22,976.51

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Solution

The third proportional to 15,175.34 and 22,976.51 is: 34,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.34 : 22,976.51 = 22,976.51 : x
  2. Step 2: Convert to fraction form
    15,175.34/22,976.51 = 22,976.51/x
  3. Step 3: Cross multiply
    15,175.34x = 22,976.51 × 22,976.51
  4. Step 4: Simplify right side
    15,175.34x = 527,919,911.26
  5. Step 5: Solve for x
    x = 527,919,911.26/15,175.34
  6. Step 6: Final answer
    x = 34,788.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.