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Finding the Third Proportional to 15,659 and 34,335

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Solution

The third proportional to 15,659 and 34,335 is: 75,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,659 : 34,335 = 34,335 : x
  2. Step 2: Convert to fraction form
    15,659/34,335 = 34,335/x
  3. Step 3: Cross multiply
    15,659x = 34,335 × 34,335
  4. Step 4: Simplify right side
    15,659x = 1,178,892,225
  5. Step 5: Solve for x
    x = 1,178,892,225/15,659
  6. Step 6: Final answer
    x = 75,285.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.