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Finding the Third Proportional to 7,735 and 13,934

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Solution

The third proportional to 7,735 and 13,934 is: 25,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735 : 13,934 = 13,934 : x
  2. Step 2: Convert to fraction form
    7,735/13,934 = 13,934/x
  3. Step 3: Cross multiply
    7,735x = 13,934 × 13,934
  4. Step 4: Simplify right side
    7,735x = 194,156,356
  5. Step 5: Solve for x
    x = 194,156,356/7,735
  6. Step 6: Final answer
    x = 25,101.02

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.