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Finding the Third Proportional to 28,166 and 43,310

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Solution

The third proportional to 28,166 and 43,310 is: 66,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,166 : 43,310 = 43,310 : x
  2. Step 2: Convert to fraction form
    28,166/43,310 = 43,310/x
  3. Step 3: Cross multiply
    28,166x = 43,310 × 43,310
  4. Step 4: Simplify right side
    28,166x = 1,875,756,100
  5. Step 5: Solve for x
    x = 1,875,756,100/28,166
  6. Step 6: Final answer
    x = 66,596.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.