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Finding the Third Proportional to 24,281 and 32,961.50

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Solution

The third proportional to 24,281 and 32,961.50 is: 44,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281 : 32,961.50 = 32,961.50 : x
  2. Step 2: Convert to fraction form
    24,281/32,961.50 = 32,961.50/x
  3. Step 3: Cross multiply
    24,281x = 32,961.50 × 32,961.50
  4. Step 4: Simplify right side
    24,281x = 1,086,460,482.25
  5. Step 5: Solve for x
    x = 1,086,460,482.25/24,281
  6. Step 6: Final answer
    x = 44,745.29

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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.