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Finding the Third Proportional to 31,044 and 67,008

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Solution

The third proportional to 31,044 and 67,008 is: 144,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044 : 67,008 = 67,008 : x
  2. Step 2: Convert to fraction form
    31,044/67,008 = 67,008/x
  3. Step 3: Cross multiply
    31,044x = 67,008 × 67,008
  4. Step 4: Simplify right side
    31,044x = 4,490,072,064
  5. Step 5: Solve for x
    x = 4,490,072,064/31,044
  6. Step 6: Final answer
    x = 144,635.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.