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Finding the Third Proportional to 27,461 and 44,215.50

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Solution

The third proportional to 27,461 and 44,215.50 is: 71,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461 : 44,215.50 = 44,215.50 : x
  2. Step 2: Convert to fraction form
    27,461/44,215.50 = 44,215.50/x
  3. Step 3: Cross multiply
    27,461x = 44,215.50 × 44,215.50
  4. Step 4: Simplify right side
    27,461x = 1,955,010,440.25
  5. Step 5: Solve for x
    x = 1,955,010,440.25/27,461
  6. Step 6: Final answer
    x = 71,192.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.