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Finding the Third Proportional to 23,312 and 35,668

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Solution

The third proportional to 23,312 and 35,668 is: 54,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312 : 35,668 = 35,668 : x
  2. Step 2: Convert to fraction form
    23,312/35,668 = 35,668/x
  3. Step 3: Cross multiply
    23,312x = 35,668 × 35,668
  4. Step 4: Simplify right side
    23,312x = 1,272,206,224
  5. Step 5: Solve for x
    x = 1,272,206,224/23,312
  6. Step 6: Final answer
    x = 54,573.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.