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Finding the Third Proportional to 19,437 and 42,807

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Solution

The third proportional to 19,437 and 42,807 is: 94,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,437 : 42,807 = 42,807 : x
  2. Step 2: Convert to fraction form
    19,437/42,807 = 42,807/x
  3. Step 3: Cross multiply
    19,437x = 42,807 × 42,807
  4. Step 4: Simplify right side
    19,437x = 1,832,439,249
  5. Step 5: Solve for x
    x = 1,832,439,249/19,437
  6. Step 6: Final answer
    x = 94,275.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.