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Finding the Third Proportional to 15,784.88 and 36,546.19

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Solution

The third proportional to 15,784.88 and 36,546.19 is: 84,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.88 : 36,546.19 = 36,546.19 : x
  2. Step 2: Convert to fraction form
    15,784.88/36,546.19 = 36,546.19/x
  3. Step 3: Cross multiply
    15,784.88x = 36,546.19 × 36,546.19
  4. Step 4: Simplify right side
    15,784.88x = 1,335,623,820.79
  5. Step 5: Solve for x
    x = 1,335,623,820.79/15,784.88
  6. Step 6: Final answer
    x = 84,614.15

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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.