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Finding the Third Proportional to 19,542 and 42,786

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Solution

The third proportional to 19,542 and 42,786 is: 93,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542 : 42,786 = 42,786 : x
  2. Step 2: Convert to fraction form
    19,542/42,786 = 42,786/x
  3. Step 3: Cross multiply
    19,542x = 42,786 × 42,786
  4. Step 4: Simplify right side
    19,542x = 1,830,641,796
  5. Step 5: Solve for x
    x = 1,830,641,796/19,542
  6. Step 6: Final answer
    x = 93,677.30

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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.