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Finding the Third Proportional to 34,887 and 72,726

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Solution

The third proportional to 34,887 and 72,726 is: 151,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,887 : 72,726 = 72,726 : x
  2. Step 2: Convert to fraction form
    34,887/72,726 = 72,726/x
  3. Step 3: Cross multiply
    34,887x = 72,726 × 72,726
  4. Step 4: Simplify right side
    34,887x = 5,289,071,076
  5. Step 5: Solve for x
    x = 5,289,071,076/34,887
  6. Step 6: Final answer
    x = 151,605.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.