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Finding the Third Proportional to 5,066 and 9,148

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Solution

The third proportional to 5,066 and 9,148 is: 16,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066 : 9,148 = 9,148 : x
  2. Step 2: Convert to fraction form
    5,066/9,148 = 9,148/x
  3. Step 3: Cross multiply
    5,066x = 9,148 × 9,148
  4. Step 4: Simplify right side
    5,066x = 83,685,904
  5. Step 5: Solve for x
    x = 83,685,904/5,066
  6. Step 6: Final answer
    x = 16,519.13

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.