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Finding the Third Proportional to 9,224.72 and 21,656.95

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Solution

The third proportional to 9,224.72 and 21,656.95 is: 50,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.72 : 21,656.95 = 21,656.95 : x
  2. Step 2: Convert to fraction form
    9,224.72/21,656.95 = 21,656.95/x
  3. Step 3: Cross multiply
    9,224.72x = 21,656.95 × 21,656.95
  4. Step 4: Simplify right side
    9,224.72x = 469,023,618.66
  5. Step 5: Solve for x
    x = 469,023,618.66/9,224.72
  6. Step 6: Final answer
    x = 50,844.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.