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Finding the Third Proportional to 26,821.41 and 39,411

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Solution

The third proportional to 26,821.41 and 39,411 is: 57,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.41 : 39,411 = 39,411 : x
  2. Step 2: Convert to fraction form
    26,821.41/39,411 = 39,411/x
  3. Step 3: Cross multiply
    26,821.41x = 39,411 × 39,411
  4. Step 4: Simplify right side
    26,821.41x = 1,553,226,921
  5. Step 5: Solve for x
    x = 1,553,226,921/26,821.41
  6. Step 6: Final answer
    x = 57,909.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.