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Finding the Third Proportional to 21,677.07 and 47,283.20

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Solution

The third proportional to 21,677.07 and 47,283.20 is: 103,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.07 : 47,283.20 = 47,283.20 : x
  2. Step 2: Convert to fraction form
    21,677.07/47,283.20 = 47,283.20/x
  3. Step 3: Cross multiply
    21,677.07x = 47,283.20 × 47,283.20
  4. Step 4: Simplify right side
    21,677.07x = 2,235,700,651.31
  5. Step 5: Solve for x
    x = 2,235,700,651.31/21,677.07
  6. Step 6: Final answer
    x = 103,136.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.