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Finding the Third Proportional to 16,748 and 35,219

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Solution

The third proportional to 16,748 and 35,219 is: 74,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,748 : 35,219 = 35,219 : x
  2. Step 2: Convert to fraction form
    16,748/35,219 = 35,219/x
  3. Step 3: Cross multiply
    16,748x = 35,219 × 35,219
  4. Step 4: Simplify right side
    16,748x = 1,240,377,961
  5. Step 5: Solve for x
    x = 1,240,377,961/16,748
  6. Step 6: Final answer
    x = 74,061.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.