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Finding the Third Proportional to 20,283.50 and 43,565

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Solution

The third proportional to 20,283.50 and 43,565 is: 93,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.50 : 43,565 = 43,565 : x
  2. Step 2: Convert to fraction form
    20,283.50/43,565 = 43,565/x
  3. Step 3: Cross multiply
    20,283.50x = 43,565 × 43,565
  4. Step 4: Simplify right side
    20,283.50x = 1,897,909,225
  5. Step 5: Solve for x
    x = 1,897,909,225/20,283.50
  6. Step 6: Final answer
    x = 93,569.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.