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Finding the Third Proportional to 10,614.75 and 22,262.25

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Solution

The third proportional to 10,614.75 and 22,262.25 is: 46,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.75 : 22,262.25 = 22,262.25 : x
  2. Step 2: Convert to fraction form
    10,614.75/22,262.25 = 22,262.25/x
  3. Step 3: Cross multiply
    10,614.75x = 22,262.25 × 22,262.25
  4. Step 4: Simplify right side
    10,614.75x = 495,607,775.06
  5. Step 5: Solve for x
    x = 495,607,775.06/10,614.75
  6. Step 6: Final answer
    x = 46,690.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.