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Finding the Third Proportional to 24,269.63 and 32,356.97

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Solution

The third proportional to 24,269.63 and 32,356.97 is: 43,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.63 : 32,356.97 = 32,356.97 : x
  2. Step 2: Convert to fraction form
    24,269.63/32,356.97 = 32,356.97/x
  3. Step 3: Cross multiply
    24,269.63x = 32,356.97 × 32,356.97
  4. Step 4: Simplify right side
    24,269.63x = 1,046,973,426.69
  5. Step 5: Solve for x
    x = 1,046,973,426.69/24,269.63
  6. Step 6: Final answer
    x = 43,139.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.