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Finding the Third Proportional to 28,383 and 42,967.50

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Solution

The third proportional to 28,383 and 42,967.50 is: 65,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,383 : 42,967.50 = 42,967.50 : x
  2. Step 2: Convert to fraction form
    28,383/42,967.50 = 42,967.50/x
  3. Step 3: Cross multiply
    28,383x = 42,967.50 × 42,967.50
  4. Step 4: Simplify right side
    28,383x = 1,846,206,056.25
  5. Step 5: Solve for x
    x = 1,846,206,056.25/28,383
  6. Step 6: Final answer
    x = 65,046.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.