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Finding the Third Proportional to 23,099 and 32,182.50

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Solution

The third proportional to 23,099 and 32,182.50 is: 44,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,099 : 32,182.50 = 32,182.50 : x
  2. Step 2: Convert to fraction form
    23,099/32,182.50 = 32,182.50/x
  3. Step 3: Cross multiply
    23,099x = 32,182.50 × 32,182.50
  4. Step 4: Simplify right side
    23,099x = 1,035,713,306.25
  5. Step 5: Solve for x
    x = 1,035,713,306.25/23,099
  6. Step 6: Final answer
    x = 44,838.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.