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Finding the Third Proportional to 19,616 and 42,506

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Solution

The third proportional to 19,616 and 42,506 is: 92,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616 : 42,506 = 42,506 : x
  2. Step 2: Convert to fraction form
    19,616/42,506 = 42,506/x
  3. Step 3: Cross multiply
    19,616x = 42,506 × 42,506
  4. Step 4: Simplify right side
    19,616x = 1,806,760,036
  5. Step 5: Solve for x
    x = 1,806,760,036/19,616
  6. Step 6: Final answer
    x = 92,106.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.