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Finding the Third Proportional to 24,504 and 38,821.50

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Solution

The third proportional to 24,504 and 38,821.50 is: 61,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504 : 38,821.50 = 38,821.50 : x
  2. Step 2: Convert to fraction form
    24,504/38,821.50 = 38,821.50/x
  3. Step 3: Cross multiply
    24,504x = 38,821.50 × 38,821.50
  4. Step 4: Simplify right side
    24,504x = 1,507,108,862.25
  5. Step 5: Solve for x
    x = 1,507,108,862.25/24,504
  6. Step 6: Final answer
    x = 61,504.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.