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Finding the Third Proportional to 19,266 and 42,060

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Solution

The third proportional to 19,266 and 42,060 is: 91,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,266 : 42,060 = 42,060 : x
  2. Step 2: Convert to fraction form
    19,266/42,060 = 42,060/x
  3. Step 3: Cross multiply
    19,266x = 42,060 × 42,060
  4. Step 4: Simplify right side
    19,266x = 1,769,043,600
  5. Step 5: Solve for x
    x = 1,769,043,600/19,266
  6. Step 6: Final answer
    x = 91,822.05

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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.