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Finding the Third Proportional to 27,808 and 35,160

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Solution

The third proportional to 27,808 and 35,160 is: 44,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808 : 35,160 = 35,160 : x
  2. Step 2: Convert to fraction form
    27,808/35,160 = 35,160/x
  3. Step 3: Cross multiply
    27,808x = 35,160 × 35,160
  4. Step 4: Simplify right side
    27,808x = 1,236,225,600
  5. Step 5: Solve for x
    x = 1,236,225,600/27,808
  6. Step 6: Final answer
    x = 44,455.75

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.