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Finding the Third Proportional to 15,716 and 33,058

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Solution

The third proportional to 15,716 and 33,058 is: 69,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716 : 33,058 = 33,058 : x
  2. Step 2: Convert to fraction form
    15,716/33,058 = 33,058/x
  3. Step 3: Cross multiply
    15,716x = 33,058 × 33,058
  4. Step 4: Simplify right side
    15,716x = 1,092,831,364
  5. Step 5: Solve for x
    x = 1,092,831,364/15,716
  6. Step 6: Final answer
    x = 69,536.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.