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Finding the Third Proportional to 27,211 and 42,046

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Solution

The third proportional to 27,211 and 42,046 is: 64,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211 : 42,046 = 42,046 : x
  2. Step 2: Convert to fraction form
    27,211/42,046 = 42,046/x
  3. Step 3: Cross multiply
    27,211x = 42,046 × 42,046
  4. Step 4: Simplify right side
    27,211x = 1,767,866,116
  5. Step 5: Solve for x
    x = 1,767,866,116/27,211
  6. Step 6: Final answer
    x = 64,968.80

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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.