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Finding the Third Proportional to 24,641.72 and 38,226.94

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Solution

The third proportional to 24,641.72 and 38,226.94 is: 59,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.72 : 38,226.94 = 38,226.94 : x
  2. Step 2: Convert to fraction form
    24,641.72/38,226.94 = 38,226.94/x
  3. Step 3: Cross multiply
    24,641.72x = 38,226.94 × 38,226.94
  4. Step 4: Simplify right side
    24,641.72x = 1,461,298,750.63
  5. Step 5: Solve for x
    x = 1,461,298,750.63/24,641.72
  6. Step 6: Final answer
    x = 59,301.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.