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Finding the Third Proportional to 31,040 and 45,600

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Solution

The third proportional to 31,040 and 45,600 is: 66,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040 : 45,600 = 45,600 : x
  2. Step 2: Convert to fraction form
    31,040/45,600 = 45,600/x
  3. Step 3: Cross multiply
    31,040x = 45,600 × 45,600
  4. Step 4: Simplify right side
    31,040x = 2,079,360,000
  5. Step 5: Solve for x
    x = 2,079,360,000/31,040
  6. Step 6: Final answer
    x = 66,989.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.