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Finding the Third Proportional to 20,078.25 and 42,417

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Solution

The third proportional to 20,078.25 and 42,417 is: 89,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.25 : 42,417 = 42,417 : x
  2. Step 2: Convert to fraction form
    20,078.25/42,417 = 42,417/x
  3. Step 3: Cross multiply
    20,078.25x = 42,417 × 42,417
  4. Step 4: Simplify right side
    20,078.25x = 1,799,201,889
  5. Step 5: Solve for x
    x = 1,799,201,889/20,078.25
  6. Step 6: Final answer
    x = 89,609.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.