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Finding the Third Proportional to 15,894 and 34,271

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Solution

The third proportional to 15,894 and 34,271 is: 73,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 34,271 = 34,271 : x
  2. Step 2: Convert to fraction form
    15,894/34,271 = 34,271/x
  3. Step 3: Cross multiply
    15,894x = 34,271 × 34,271
  4. Step 4: Simplify right side
    15,894x = 1,174,501,441
  5. Step 5: Solve for x
    x = 1,174,501,441/15,894
  6. Step 6: Final answer
    x = 73,895.90

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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.