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Finding the Third Proportional to 24,723 and 39,307.75

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Solution

The third proportional to 24,723 and 39,307.75 is: 62,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723 : 39,307.75 = 39,307.75 : x
  2. Step 2: Convert to fraction form
    24,723/39,307.75 = 39,307.75/x
  3. Step 3: Cross multiply
    24,723x = 39,307.75 × 39,307.75
  4. Step 4: Simplify right side
    24,723x = 1,545,099,210.06
  5. Step 5: Solve for x
    x = 1,545,099,210.06/24,723
  6. Step 6: Final answer
    x = 62,496.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.