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Finding the Third Proportional to 24,499.13 and 35,803.69

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Solution

The third proportional to 24,499.13 and 35,803.69 is: 52,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.13 : 35,803.69 = 35,803.69 : x
  2. Step 2: Convert to fraction form
    24,499.13/35,803.69 = 35,803.69/x
  3. Step 3: Cross multiply
    24,499.13x = 35,803.69 × 35,803.69
  4. Step 4: Simplify right side
    24,499.13x = 1,281,904,038.60
  5. Step 5: Solve for x
    x = 1,281,904,038.60/24,499.13
  6. Step 6: Final answer
    x = 52,324.48

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.