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Finding the Third Proportional to 9,175.15 and 21,259.18

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Solution

The third proportional to 9,175.15 and 21,259.18 is: 49,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.15 : 21,259.18 = 21,259.18 : x
  2. Step 2: Convert to fraction form
    9,175.15/21,259.18 = 21,259.18/x
  3. Step 3: Cross multiply
    9,175.15x = 21,259.18 × 21,259.18
  4. Step 4: Simplify right side
    9,175.15x = 451,952,637.94
  5. Step 5: Solve for x
    x = 451,952,637.94/9,175.15
  6. Step 6: Final answer
    x = 49,258.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.