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Finding the Third Proportional to 23,752 and 35,674

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Solution

The third proportional to 23,752 and 35,674 is: 53,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752 : 35,674 = 35,674 : x
  2. Step 2: Convert to fraction form
    23,752/35,674 = 35,674/x
  3. Step 3: Cross multiply
    23,752x = 35,674 × 35,674
  4. Step 4: Simplify right side
    23,752x = 1,272,634,276
  5. Step 5: Solve for x
    x = 1,272,634,276/23,752
  6. Step 6: Final answer
    x = 53,580.09

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