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Finding the Third Proportional to 17,883 and 39,341.25

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Solution

The third proportional to 17,883 and 39,341.25 is: 86,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883 : 39,341.25 = 39,341.25 : x
  2. Step 2: Convert to fraction form
    17,883/39,341.25 = 39,341.25/x
  3. Step 3: Cross multiply
    17,883x = 39,341.25 × 39,341.25
  4. Step 4: Simplify right side
    17,883x = 1,547,733,951.56
  5. Step 5: Solve for x
    x = 1,547,733,951.56/17,883
  6. Step 6: Final answer
    x = 86,547.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.