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Finding the Third Proportional to 8,973 and 18,394.50

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Solution

The third proportional to 8,973 and 18,394.50 is: 37,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973 : 18,394.50 = 18,394.50 : x
  2. Step 2: Convert to fraction form
    8,973/18,394.50 = 18,394.50/x
  3. Step 3: Cross multiply
    8,973x = 18,394.50 × 18,394.50
  4. Step 4: Simplify right side
    8,973x = 338,357,630.25
  5. Step 5: Solve for x
    x = 338,357,630.25/8,973
  6. Step 6: Final answer
    x = 37,708.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.