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Finding the Third Proportional to 21,839.16 and 47,767.59

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Solution

The third proportional to 21,839.16 and 47,767.59 is: 104,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839.16 : 47,767.59 = 47,767.59 : x
  2. Step 2: Convert to fraction form
    21,839.16/47,767.59 = 47,767.59/x
  3. Step 3: Cross multiply
    21,839.16x = 47,767.59 × 47,767.59
  4. Step 4: Simplify right side
    21,839.16x = 2,281,743,012.67
  5. Step 5: Solve for x
    x = 2,281,743,012.67/21,839.16
  6. Step 6: Final answer
    x = 104,479.45

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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.