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Finding the Third Proportional to 10,097.79 and 21,656.43

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Solution

The third proportional to 10,097.79 and 21,656.43 is: 46,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.79 : 21,656.43 = 21,656.43 : x
  2. Step 2: Convert to fraction form
    10,097.79/21,656.43 = 21,656.43/x
  3. Step 3: Cross multiply
    10,097.79x = 21,656.43 × 21,656.43
  4. Step 4: Simplify right side
    10,097.79x = 469,000,777.62
  5. Step 5: Solve for x
    x = 469,000,777.62/10,097.79
  6. Step 6: Final answer
    x = 46,445.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.