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Finding the Third Proportional to 23,370.75 and 35,334

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Solution

The third proportional to 23,370.75 and 35,334 is: 53,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,370.75 : 35,334 = 35,334 : x
  2. Step 2: Convert to fraction form
    23,370.75/35,334 = 35,334/x
  3. Step 3: Cross multiply
    23,370.75x = 35,334 × 35,334
  4. Step 4: Simplify right side
    23,370.75x = 1,248,491,556
  5. Step 5: Solve for x
    x = 1,248,491,556/23,370.75
  6. Step 6: Final answer
    x = 53,421.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.