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Finding the Third Proportional to 39,776 and 56,206

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Solution

The third proportional to 39,776 and 56,206 is: 79,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,776 : 56,206 = 56,206 : x
  2. Step 2: Convert to fraction form
    39,776/56,206 = 56,206/x
  3. Step 3: Cross multiply
    39,776x = 56,206 × 56,206
  4. Step 4: Simplify right side
    39,776x = 3,159,114,436
  5. Step 5: Solve for x
    x = 3,159,114,436/39,776
  6. Step 6: Final answer
    x = 79,422.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.