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Finding the Third Proportional to 12,099 and 28,405.50

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Solution

The third proportional to 12,099 and 28,405.50 is: 66,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099 : 28,405.50 = 28,405.50 : x
  2. Step 2: Convert to fraction form
    12,099/28,405.50 = 28,405.50/x
  3. Step 3: Cross multiply
    12,099x = 28,405.50 × 28,405.50
  4. Step 4: Simplify right side
    12,099x = 806,872,430.25
  5. Step 5: Solve for x
    x = 806,872,430.25/12,099
  6. Step 6: Final answer
    x = 66,689.18

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Why These Related Problems?

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