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Finding the Third Proportional to 31,008 and 46,443

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Solution

The third proportional to 31,008 and 46,443 is: 69,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008 : 46,443 = 46,443 : x
  2. Step 2: Convert to fraction form
    31,008/46,443 = 46,443/x
  3. Step 3: Cross multiply
    31,008x = 46,443 × 46,443
  4. Step 4: Simplify right side
    31,008x = 2,156,952,249
  5. Step 5: Solve for x
    x = 2,156,952,249/31,008
  6. Step 6: Final answer
    x = 69,561.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.