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Finding the Third Proportional to 34,880 and 75,514

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Solution

The third proportional to 34,880 and 75,514 is: 163,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,880 : 75,514 = 75,514 : x
  2. Step 2: Convert to fraction form
    34,880/75,514 = 75,514/x
  3. Step 3: Cross multiply
    34,880x = 75,514 × 75,514
  4. Step 4: Simplify right side
    34,880x = 5,702,364,196
  5. Step 5: Solve for x
    x = 5,702,364,196/34,880
  6. Step 6: Final answer
    x = 163,485.21

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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.