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Finding the Third Proportional to 19,425 and 42,557

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Solution

The third proportional to 19,425 and 42,557 is: 93,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425 : 42,557 = 42,557 : x
  2. Step 2: Convert to fraction form
    19,425/42,557 = 42,557/x
  3. Step 3: Cross multiply
    19,425x = 42,557 × 42,557
  4. Step 4: Simplify right side
    19,425x = 1,811,098,249
  5. Step 5: Solve for x
    x = 1,811,098,249/19,425
  6. Step 6: Final answer
    x = 93,235.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.