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Finding the Third Proportional to 19,473 and 45,604

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Solution

The third proportional to 19,473 and 45,604 is: 106,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473 : 45,604 = 45,604 : x
  2. Step 2: Convert to fraction form
    19,473/45,604 = 45,604/x
  3. Step 3: Cross multiply
    19,473x = 45,604 × 45,604
  4. Step 4: Simplify right side
    19,473x = 2,079,724,816
  5. Step 5: Solve for x
    x = 2,079,724,816/19,473
  6. Step 6: Final answer
    x = 106,800.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.