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Finding the Third Proportional to 34,838 and 75,216

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Solution

The third proportional to 34,838 and 75,216 is: 162,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,838 : 75,216 = 75,216 : x
  2. Step 2: Convert to fraction form
    34,838/75,216 = 75,216/x
  3. Step 3: Cross multiply
    34,838x = 75,216 × 75,216
  4. Step 4: Simplify right side
    34,838x = 5,657,446,656
  5. Step 5: Solve for x
    x = 5,657,446,656/34,838
  6. Step 6: Final answer
    x = 162,392.98

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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.