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Finding the Third Proportional to 8,703.38 and 17,867.63

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Solution

The third proportional to 8,703.38 and 17,867.63 is: 36,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.38 : 17,867.63 = 17,867.63 : x
  2. Step 2: Convert to fraction form
    8,703.38/17,867.63 = 17,867.63/x
  3. Step 3: Cross multiply
    8,703.38x = 17,867.63 × 17,867.63
  4. Step 4: Simplify right side
    8,703.38x = 319,252,023.14
  5. Step 5: Solve for x
    x = 319,252,023.14/8,703.38
  6. Step 6: Final answer
    x = 36,681.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.