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Finding the Third Proportional to 40,906 and 60,011

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Solution

The third proportional to 40,906 and 60,011 is: 88,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,906 : 60,011 = 60,011 : x
  2. Step 2: Convert to fraction form
    40,906/60,011 = 60,011/x
  3. Step 3: Cross multiply
    40,906x = 60,011 × 60,011
  4. Step 4: Simplify right side
    40,906x = 3,601,320,121
  5. Step 5: Solve for x
    x = 3,601,320,121/40,906
  6. Step 6: Final answer
    x = 88,038.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.