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Finding the Third Proportional to 12,471 and 27,710.50

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Solution

The third proportional to 12,471 and 27,710.50 is: 61,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471 : 27,710.50 = 27,710.50 : x
  2. Step 2: Convert to fraction form
    12,471/27,710.50 = 27,710.50/x
  3. Step 3: Cross multiply
    12,471x = 27,710.50 × 27,710.50
  4. Step 4: Simplify right side
    12,471x = 767,871,810.25
  5. Step 5: Solve for x
    x = 767,871,810.25/12,471
  6. Step 6: Final answer
    x = 61,572.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.