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Finding the Third Proportional to 14,652.25 and 22,968.38

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Solution

The third proportional to 14,652.25 and 22,968.38 is: 36,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.25 : 22,968.38 = 22,968.38 : x
  2. Step 2: Convert to fraction form
    14,652.25/22,968.38 = 22,968.38/x
  3. Step 3: Cross multiply
    14,652.25x = 22,968.38 × 22,968.38
  4. Step 4: Simplify right side
    14,652.25x = 527,546,250.14
  5. Step 5: Solve for x
    x = 527,546,250.14/14,652.25
  6. Step 6: Final answer
    x = 36,004.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.