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Finding the Third Proportional to 27,807.09 and 65,613.66

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Solution

The third proportional to 27,807.09 and 65,613.66 is: 154,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.09 : 65,613.66 = 65,613.66 : x
  2. Step 2: Convert to fraction form
    27,807.09/65,613.66 = 65,613.66/x
  3. Step 3: Cross multiply
    27,807.09x = 65,613.66 × 65,613.66
  4. Step 4: Simplify right side
    27,807.09x = 4,305,151,886.49
  5. Step 5: Solve for x
    x = 4,305,151,886.49/27,807.09
  6. Step 6: Final answer
    x = 154,822.07

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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.