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Finding the Third Proportional to 9,122.81 and 19,744.88

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Solution

The third proportional to 9,122.81 and 19,744.88 is: 42,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.81 : 19,744.88 = 19,744.88 : x
  2. Step 2: Convert to fraction form
    9,122.81/19,744.88 = 19,744.88/x
  3. Step 3: Cross multiply
    9,122.81x = 19,744.88 × 19,744.88
  4. Step 4: Simplify right side
    9,122.81x = 389,860,088.77
  5. Step 5: Solve for x
    x = 389,860,088.77/9,122.81
  6. Step 6: Final answer
    x = 42,734.64

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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.