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Finding the Third Proportional to 12,803.06 and 27,785.53

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Solution

The third proportional to 12,803.06 and 27,785.53 is: 60,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.06 : 27,785.53 = 27,785.53 : x
  2. Step 2: Convert to fraction form
    12,803.06/27,785.53 = 27,785.53/x
  3. Step 3: Cross multiply
    12,803.06x = 27,785.53 × 27,785.53
  4. Step 4: Simplify right side
    12,803.06x = 772,035,746.84
  5. Step 5: Solve for x
    x = 772,035,746.84/12,803.06
  6. Step 6: Final answer
    x = 60,300.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.