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Finding the Third Proportional to 9,825.75 and 21,520.13

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Solution

The third proportional to 9,825.75 and 21,520.13 is: 47,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.75 : 21,520.13 = 21,520.13 : x
  2. Step 2: Convert to fraction form
    9,825.75/21,520.13 = 21,520.13/x
  3. Step 3: Cross multiply
    9,825.75x = 21,520.13 × 21,520.13
  4. Step 4: Simplify right side
    9,825.75x = 463,115,780.02
  5. Step 5: Solve for x
    x = 463,115,780.02/9,825.75
  6. Step 6: Final answer
    x = 47,132.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.