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Finding the Third Proportional to 11,512.13 and 27,140.06

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Solution

The third proportional to 11,512.13 and 27,140.06 is: 63,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.13 : 27,140.06 = 27,140.06 : x
  2. Step 2: Convert to fraction form
    11,512.13/27,140.06 = 27,140.06/x
  3. Step 3: Cross multiply
    11,512.13x = 27,140.06 × 27,140.06
  4. Step 4: Simplify right side
    11,512.13x = 736,582,992.50
  5. Step 5: Solve for x
    x = 736,582,992.50/11,512.13
  6. Step 6: Final answer
    x = 63,983.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.