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Finding the Third Proportional to 9,893.25 and 18,382.50

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Solution

The third proportional to 9,893.25 and 18,382.50 is: 34,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.25 : 18,382.50 = 18,382.50 : x
  2. Step 2: Convert to fraction form
    9,893.25/18,382.50 = 18,382.50/x
  3. Step 3: Cross multiply
    9,893.25x = 18,382.50 × 18,382.50
  4. Step 4: Simplify right side
    9,893.25x = 337,916,306.25
  5. Step 5: Solve for x
    x = 337,916,306.25/9,893.25
  6. Step 6: Final answer
    x = 34,156.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.