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Finding the Third Proportional to 26,988 and 36,066

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Solution

The third proportional to 26,988 and 36,066 is: 48,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,988 : 36,066 = 36,066 : x
  2. Step 2: Convert to fraction form
    26,988/36,066 = 36,066/x
  3. Step 3: Cross multiply
    26,988x = 36,066 × 36,066
  4. Step 4: Simplify right side
    26,988x = 1,300,756,356
  5. Step 5: Solve for x
    x = 1,300,756,356/26,988
  6. Step 6: Final answer
    x = 48,197.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.