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Finding the Third Proportional to 7,872.19 and 17,032.78

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Solution

The third proportional to 7,872.19 and 17,032.78 is: 36,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.19 : 17,032.78 = 17,032.78 : x
  2. Step 2: Convert to fraction form
    7,872.19/17,032.78 = 17,032.78/x
  3. Step 3: Cross multiply
    7,872.19x = 17,032.78 × 17,032.78
  4. Step 4: Simplify right side
    7,872.19x = 290,115,637.11
  5. Step 5: Solve for x
    x = 290,115,637.11/7,872.19
  6. Step 6: Final answer
    x = 36,853.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.