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Finding the Third Proportional to 30,265 and 50,017.50

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Solution

The third proportional to 30,265 and 50,017.50 is: 82,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,265 : 50,017.50 = 50,017.50 : x
  2. Step 2: Convert to fraction form
    30,265/50,017.50 = 50,017.50/x
  3. Step 3: Cross multiply
    30,265x = 50,017.50 × 50,017.50
  4. Step 4: Simplify right side
    30,265x = 2,501,750,306.25
  5. Step 5: Solve for x
    x = 2,501,750,306.25/30,265
  6. Step 6: Final answer
    x = 82,661.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.