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Finding the Third Proportional to 24,678 and 39,741.75

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Solution

The third proportional to 24,678 and 39,741.75 is: 64,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678 : 39,741.75 = 39,741.75 : x
  2. Step 2: Convert to fraction form
    24,678/39,741.75 = 39,741.75/x
  3. Step 3: Cross multiply
    24,678x = 39,741.75 × 39,741.75
  4. Step 4: Simplify right side
    24,678x = 1,579,406,693.06
  5. Step 5: Solve for x
    x = 1,579,406,693.06/24,678
  6. Step 6: Final answer
    x = 64,000.60

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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.