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Finding the Third Proportional to 20,655 and 27,788.06

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Solution

The third proportional to 20,655 and 27,788.06 is: 37,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655 : 27,788.06 = 27,788.06 : x
  2. Step 2: Convert to fraction form
    20,655/27,788.06 = 27,788.06/x
  3. Step 3: Cross multiply
    20,655x = 27,788.06 × 27,788.06
  4. Step 4: Simplify right side
    20,655x = 772,176,417.50
  5. Step 5: Solve for x
    x = 772,176,417.50/20,655
  6. Step 6: Final answer
    x = 37,384.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.