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Finding the Third Proportional to 15,754 and 34,276

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Solution

The third proportional to 15,754 and 34,276 is: 74,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754 : 34,276 = 34,276 : x
  2. Step 2: Convert to fraction form
    15,754/34,276 = 34,276/x
  3. Step 3: Cross multiply
    15,754x = 34,276 × 34,276
  4. Step 4: Simplify right side
    15,754x = 1,174,844,176
  5. Step 5: Solve for x
    x = 1,174,844,176/15,754
  6. Step 6: Final answer
    x = 74,574.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.