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Finding the Third Proportional to 9,824.25 and 21,217.50

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Solution

The third proportional to 9,824.25 and 21,217.50 is: 45,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.25 : 21,217.50 = 21,217.50 : x
  2. Step 2: Convert to fraction form
    9,824.25/21,217.50 = 21,217.50/x
  3. Step 3: Cross multiply
    9,824.25x = 21,217.50 × 21,217.50
  4. Step 4: Simplify right side
    9,824.25x = 450,182,306.25
  5. Step 5: Solve for x
    x = 450,182,306.25/9,824.25
  6. Step 6: Final answer
    x = 45,823.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.