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Finding the Third Proportional to 16,263 and 35,473

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Solution

The third proportional to 16,263 and 35,473 is: 77,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263 : 35,473 = 35,473 : x
  2. Step 2: Convert to fraction form
    16,263/35,473 = 35,473/x
  3. Step 3: Cross multiply
    16,263x = 35,473 × 35,473
  4. Step 4: Simplify right side
    16,263x = 1,258,333,729
  5. Step 5: Solve for x
    x = 1,258,333,729/16,263
  6. Step 6: Final answer
    x = 77,374.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.