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Finding the Third Proportional to 5,246 and 9,652

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Solution

The third proportional to 5,246 and 9,652 is: 17,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246 : 9,652 = 9,652 : x
  2. Step 2: Convert to fraction form
    5,246/9,652 = 9,652/x
  3. Step 3: Cross multiply
    5,246x = 9,652 × 9,652
  4. Step 4: Simplify right side
    5,246x = 93,161,104
  5. Step 5: Solve for x
    x = 93,161,104/5,246
  6. Step 6: Final answer
    x = 17,758.50

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.