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Finding the Third Proportional to 32,060 and 49,768

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Solution

The third proportional to 32,060 and 49,768 is: 77,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,060 : 49,768 = 49,768 : x
  2. Step 2: Convert to fraction form
    32,060/49,768 = 49,768/x
  3. Step 3: Cross multiply
    32,060x = 49,768 × 49,768
  4. Step 4: Simplify right side
    32,060x = 2,476,853,824
  5. Step 5: Solve for x
    x = 2,476,853,824/32,060
  6. Step 6: Final answer
    x = 77,256.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.