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Finding the Third Proportional to 7,854.19 and 16,255.13

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Solution

The third proportional to 7,854.19 and 16,255.13 is: 33,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.19 : 16,255.13 = 16,255.13 : x
  2. Step 2: Convert to fraction form
    7,854.19/16,255.13 = 16,255.13/x
  3. Step 3: Cross multiply
    7,854.19x = 16,255.13 × 16,255.13
  4. Step 4: Simplify right side
    7,854.19x = 264,229,088.77
  5. Step 5: Solve for x
    x = 264,229,088.77/7,854.19
  6. Step 6: Final answer
    x = 33,641.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.