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Finding the Third Proportional to 12,283 and 28,873.50

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Solution

The third proportional to 12,283 and 28,873.50 is: 67,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283 : 28,873.50 = 28,873.50 : x
  2. Step 2: Convert to fraction form
    12,283/28,873.50 = 28,873.50/x
  3. Step 3: Cross multiply
    12,283x = 28,873.50 × 28,873.50
  4. Step 4: Simplify right side
    12,283x = 833,679,002.25
  5. Step 5: Solve for x
    x = 833,679,002.25/12,283
  6. Step 6: Final answer
    x = 67,872.59

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.