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Finding the Third Proportional to 31,995 and 72,859.50

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Solution

The third proportional to 31,995 and 72,859.50 is: 165,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995 : 72,859.50 = 72,859.50 : x
  2. Step 2: Convert to fraction form
    31,995/72,859.50 = 72,859.50/x
  3. Step 3: Cross multiply
    31,995x = 72,859.50 × 72,859.50
  4. Step 4: Simplify right side
    31,995x = 5,308,506,740.25
  5. Step 5: Solve for x
    x = 5,308,506,740.25/31,995
  6. Step 6: Final answer
    x = 165,916.76

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.