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Finding the Third Proportional to 21,705.75 and 47,565

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Solution

The third proportional to 21,705.75 and 47,565 is: 104,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.75 : 47,565 = 47,565 : x
  2. Step 2: Convert to fraction form
    21,705.75/47,565 = 47,565/x
  3. Step 3: Cross multiply
    21,705.75x = 47,565 × 47,565
  4. Step 4: Simplify right side
    21,705.75x = 2,262,429,225
  5. Step 5: Solve for x
    x = 2,262,429,225/21,705.75
  6. Step 6: Final answer
    x = 104,231.79

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Why These Related Problems?

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