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Finding the Third Proportional to 9,275.77 and 19,994.34

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Solution

The third proportional to 9,275.77 and 19,994.34 is: 43,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.77 : 19,994.34 = 19,994.34 : x
  2. Step 2: Convert to fraction form
    9,275.77/19,994.34 = 19,994.34/x
  3. Step 3: Cross multiply
    9,275.77x = 19,994.34 × 19,994.34
  4. Step 4: Simplify right side
    9,275.77x = 399,773,781.99
  5. Step 5: Solve for x
    x = 399,773,781.99/9,275.77
  6. Step 6: Final answer
    x = 43,098.74

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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.