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Finding the Third Proportional to 28,416 and 61,356

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Solution

The third proportional to 28,416 and 61,356 is: 132,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,416 : 61,356 = 61,356 : x
  2. Step 2: Convert to fraction form
    28,416/61,356 = 61,356/x
  3. Step 3: Cross multiply
    28,416x = 61,356 × 61,356
  4. Step 4: Simplify right side
    28,416x = 3,764,558,736
  5. Step 5: Solve for x
    x = 3,764,558,736/28,416
  6. Step 6: Final answer
    x = 132,480.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.