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Finding the Third Proportional to 24,574.13 and 37,064.81

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Solution

The third proportional to 24,574.13 and 37,064.81 is: 55,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.13 : 37,064.81 = 37,064.81 : x
  2. Step 2: Convert to fraction form
    24,574.13/37,064.81 = 37,064.81/x
  3. Step 3: Cross multiply
    24,574.13x = 37,064.81 × 37,064.81
  4. Step 4: Simplify right side
    24,574.13x = 1,373,800,325.66
  5. Step 5: Solve for x
    x = 1,373,800,325.66/24,574.13
  6. Step 6: Final answer
    x = 55,904.34

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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.