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Finding the Third Proportional to 24,279.75 and 32,788.13

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Solution

The third proportional to 24,279.75 and 32,788.13 is: 44,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,279.75 : 32,788.13 = 32,788.13 : x
  2. Step 2: Convert to fraction form
    24,279.75/32,788.13 = 32,788.13/x
  3. Step 3: Cross multiply
    24,279.75x = 32,788.13 × 32,788.13
  4. Step 4: Simplify right side
    24,279.75x = 1,075,061,141.02
  5. Step 5: Solve for x
    x = 1,075,061,141.02/24,279.75
  6. Step 6: Final answer
    x = 44,278.10

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.