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Finding the Third Proportional to 18,706.50 and 28,077.75

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Solution

The third proportional to 18,706.50 and 28,077.75 is: 42,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.50 : 28,077.75 = 28,077.75 : x
  2. Step 2: Convert to fraction form
    18,706.50/28,077.75 = 28,077.75/x
  3. Step 3: Cross multiply
    18,706.50x = 28,077.75 × 28,077.75
  4. Step 4: Simplify right side
    18,706.50x = 788,360,045.06
  5. Step 5: Solve for x
    x = 788,360,045.06/18,706.50
  6. Step 6: Final answer
    x = 42,143.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.