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Finding the Third Proportional to 24,005.63 and 36,340.13

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Solution

The third proportional to 24,005.63 and 36,340.13 is: 55,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.63 : 36,340.13 = 36,340.13 : x
  2. Step 2: Convert to fraction form
    24,005.63/36,340.13 = 36,340.13/x
  3. Step 3: Cross multiply
    24,005.63x = 36,340.13 × 36,340.13
  4. Step 4: Simplify right side
    24,005.63x = 1,320,604,685.02
  5. Step 5: Solve for x
    x = 1,320,604,685.02/24,005.63
  6. Step 6: Final answer
    x = 55,012.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.