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Finding the Third Proportional to 31,005 and 43,897.50

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Solution

The third proportional to 31,005 and 43,897.50 is: 62,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005 : 43,897.50 = 43,897.50 : x
  2. Step 2: Convert to fraction form
    31,005/43,897.50 = 43,897.50/x
  3. Step 3: Cross multiply
    31,005x = 43,897.50 × 43,897.50
  4. Step 4: Simplify right side
    31,005x = 1,926,990,506.25
  5. Step 5: Solve for x
    x = 1,926,990,506.25/31,005
  6. Step 6: Final answer
    x = 62,150.96

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.