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Finding the Third Proportional to 23,552 and 35,320

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Solution

The third proportional to 23,552 and 35,320 is: 52,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,552 : 35,320 = 35,320 : x
  2. Step 2: Convert to fraction form
    23,552/35,320 = 35,320/x
  3. Step 3: Cross multiply
    23,552x = 35,320 × 35,320
  4. Step 4: Simplify right side
    23,552x = 1,247,502,400
  5. Step 5: Solve for x
    x = 1,247,502,400/23,552
  6. Step 6: Final answer
    x = 52,968.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.