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Finding the Third Proportional to 9,904.88 and 21,753.75

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Solution

The third proportional to 9,904.88 and 21,753.75 is: 47,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.88 : 21,753.75 = 21,753.75 : x
  2. Step 2: Convert to fraction form
    9,904.88/21,753.75 = 21,753.75/x
  3. Step 3: Cross multiply
    9,904.88x = 21,753.75 × 21,753.75
  4. Step 4: Simplify right side
    9,904.88x = 473,225,639.06
  5. Step 5: Solve for x
    x = 473,225,639.06/9,904.88
  6. Step 6: Final answer
    x = 47,777.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.