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Finding the Third Proportional to 10,665 and 22,700.25

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Solution

The third proportional to 10,665 and 22,700.25 is: 48,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665 : 22,700.25 = 22,700.25 : x
  2. Step 2: Convert to fraction form
    10,665/22,700.25 = 22,700.25/x
  3. Step 3: Cross multiply
    10,665x = 22,700.25 × 22,700.25
  4. Step 4: Simplify right side
    10,665x = 515,301,350.06
  5. Step 5: Solve for x
    x = 515,301,350.06/10,665
  6. Step 6: Final answer
    x = 48,317.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.