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Finding the Third Proportional to 19,901 and 42,913

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Solution

The third proportional to 19,901 and 42,913 is: 92,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901 : 42,913 = 42,913 : x
  2. Step 2: Convert to fraction form
    19,901/42,913 = 42,913/x
  3. Step 3: Cross multiply
    19,901x = 42,913 × 42,913
  4. Step 4: Simplify right side
    19,901x = 1,841,525,569
  5. Step 5: Solve for x
    x = 1,841,525,569/19,901
  6. Step 6: Final answer
    x = 92,534.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.