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Finding the Third Proportional to 28,856 and 42,258

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Solution

The third proportional to 28,856 and 42,258 is: 61,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,856 : 42,258 = 42,258 : x
  2. Step 2: Convert to fraction form
    28,856/42,258 = 42,258/x
  3. Step 3: Cross multiply
    28,856x = 42,258 × 42,258
  4. Step 4: Simplify right side
    28,856x = 1,785,738,564
  5. Step 5: Solve for x
    x = 1,785,738,564/28,856
  6. Step 6: Final answer
    x = 61,884.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.