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Finding the Third Proportional to 19,188 and 42,840

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Solution

The third proportional to 19,188 and 42,840 is: 95,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188 : 42,840 = 42,840 : x
  2. Step 2: Convert to fraction form
    19,188/42,840 = 42,840/x
  3. Step 3: Cross multiply
    19,188x = 42,840 × 42,840
  4. Step 4: Simplify right side
    19,188x = 1,835,265,600
  5. Step 5: Solve for x
    x = 1,835,265,600/19,188
  6. Step 6: Final answer
    x = 95,646.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.