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Finding the Third Proportional to 22,967.50 and 31,170.13

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Solution

The third proportional to 22,967.50 and 31,170.13 is: 42,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.50 : 31,170.13 = 31,170.13 : x
  2. Step 2: Convert to fraction form
    22,967.50/31,170.13 = 31,170.13/x
  3. Step 3: Cross multiply
    22,967.50x = 31,170.13 × 31,170.13
  4. Step 4: Simplify right side
    22,967.50x = 971,576,692.52
  5. Step 5: Solve for x
    x = 971,576,692.52/22,967.50
  6. Step 6: Final answer
    x = 42,302.24

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.