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Finding the Third Proportional to 20,948.63 and 47,860.31

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Solution

The third proportional to 20,948.63 and 47,860.31 is: 109,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.63 : 47,860.31 = 47,860.31 : x
  2. Step 2: Convert to fraction form
    20,948.63/47,860.31 = 47,860.31/x
  3. Step 3: Cross multiply
    20,948.63x = 47,860.31 × 47,860.31
  4. Step 4: Simplify right side
    20,948.63x = 2,290,609,512.60
  5. Step 5: Solve for x
    x = 2,290,609,512.60/20,948.63
  6. Step 6: Final answer
    x = 109,344.15

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.