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Finding the Third Proportional to 21,731.63 and 47,611.13

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Solution

The third proportional to 21,731.63 and 47,611.13 is: 104,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,731.63 : 47,611.13 = 47,611.13 : x
  2. Step 2: Convert to fraction form
    21,731.63/47,611.13 = 47,611.13/x
  3. Step 3: Cross multiply
    21,731.63x = 47,611.13 × 47,611.13
  4. Step 4: Simplify right side
    21,731.63x = 2,266,819,223.77
  5. Step 5: Solve for x
    x = 2,266,819,223.77/21,731.63
  6. Step 6: Final answer
    x = 104,309.70

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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.