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Finding the Third Proportional to 14,727 and 31,557

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Solution

The third proportional to 14,727 and 31,557 is: 67,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727 : 31,557 = 31,557 : x
  2. Step 2: Convert to fraction form
    14,727/31,557 = 31,557/x
  3. Step 3: Cross multiply
    14,727x = 31,557 × 31,557
  4. Step 4: Simplify right side
    14,727x = 995,844,249
  5. Step 5: Solve for x
    x = 995,844,249/14,727
  6. Step 6: Final answer
    x = 67,620.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.