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Finding the Third Proportional to 48,685 and 62,011

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Solution

The third proportional to 48,685 and 62,011 is: 78,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,685 : 62,011 = 62,011 : x
  2. Step 2: Convert to fraction form
    48,685/62,011 = 62,011/x
  3. Step 3: Cross multiply
    48,685x = 62,011 × 62,011
  4. Step 4: Simplify right side
    48,685x = 3,845,364,121
  5. Step 5: Solve for x
    x = 3,845,364,121/48,685
  6. Step 6: Final answer
    x = 78,984.58

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.