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Finding the Third Proportional to 24,495.75 and 34,389.56

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Solution

The third proportional to 24,495.75 and 34,389.56 is: 48,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.75 : 34,389.56 = 34,389.56 : x
  2. Step 2: Convert to fraction form
    24,495.75/34,389.56 = 34,389.56/x
  3. Step 3: Cross multiply
    24,495.75x = 34,389.56 × 34,389.56
  4. Step 4: Simplify right side
    24,495.75x = 1,182,642,008.94
  5. Step 5: Solve for x
    x = 1,182,642,008.94/24,495.75
  6. Step 6: Final answer
    x = 48,279.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.