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Finding the Third Proportional to 21,565.35 and 47,128.82

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Solution

The third proportional to 21,565.35 and 47,128.82 is: 102,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.35 : 47,128.82 = 47,128.82 : x
  2. Step 2: Convert to fraction form
    21,565.35/47,128.82 = 47,128.82/x
  3. Step 3: Cross multiply
    21,565.35x = 47,128.82 × 47,128.82
  4. Step 4: Simplify right side
    21,565.35x = 2,221,125,335.85
  5. Step 5: Solve for x
    x = 2,221,125,335.85/21,565.35
  6. Step 6: Final answer
    x = 102,995.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.