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Finding the Third Proportional to 21,817.13 and 47,116.13

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Solution

The third proportional to 21,817.13 and 47,116.13 is: 101,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,817.13 : 47,116.13 = 47,116.13 : x
  2. Step 2: Convert to fraction form
    21,817.13/47,116.13 = 47,116.13/x
  3. Step 3: Cross multiply
    21,817.13x = 47,116.13 × 47,116.13
  4. Step 4: Simplify right side
    21,817.13x = 2,219,929,235.02
  5. Step 5: Solve for x
    x = 2,219,929,235.02/21,817.13
  6. Step 6: Final answer
    x = 101,751.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.