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Finding the Third Proportional to 27,708.75 and 30,101.63

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Solution

The third proportional to 27,708.75 and 30,101.63 is: 32,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.75 : 30,101.63 = 30,101.63 : x
  2. Step 2: Convert to fraction form
    27,708.75/30,101.63 = 30,101.63/x
  3. Step 3: Cross multiply
    27,708.75x = 30,101.63 × 30,101.63
  4. Step 4: Simplify right side
    27,708.75x = 906,107,827.64
  5. Step 5: Solve for x
    x = 906,107,827.64/27,708.75
  6. Step 6: Final answer
    x = 32,701.14

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.