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Finding the Third Proportional to 8,678.25 and 19,063.13

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Solution

The third proportional to 8,678.25 and 19,063.13 is: 41,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.25 : 19,063.13 = 19,063.13 : x
  2. Step 2: Convert to fraction form
    8,678.25/19,063.13 = 19,063.13/x
  3. Step 3: Cross multiply
    8,678.25x = 19,063.13 × 19,063.13
  4. Step 4: Simplify right side
    8,678.25x = 363,402,734.77
  5. Step 5: Solve for x
    x = 363,402,734.77/8,678.25
  6. Step 6: Final answer
    x = 41,875.12

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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.