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Finding the Third Proportional to 24,676.84 and 39,740.47

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Solution

The third proportional to 24,676.84 and 39,740.47 is: 63,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676.84 : 39,740.47 = 39,740.47 : x
  2. Step 2: Convert to fraction form
    24,676.84/39,740.47 = 39,740.47/x
  3. Step 3: Cross multiply
    24,676.84x = 39,740.47 × 39,740.47
  4. Step 4: Simplify right side
    24,676.84x = 1,579,304,701.23
  5. Step 5: Solve for x
    x = 1,579,304,701.23/24,676.84
  6. Step 6: Final answer
    x = 63,999.47

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.