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Finding the Third Proportional to 19,605 and 29,983.50

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Solution

The third proportional to 19,605 and 29,983.50 is: 45,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605 : 29,983.50 = 29,983.50 : x
  2. Step 2: Convert to fraction form
    19,605/29,983.50 = 29,983.50/x
  3. Step 3: Cross multiply
    19,605x = 29,983.50 × 29,983.50
  4. Step 4: Simplify right side
    19,605x = 899,010,272.25
  5. Step 5: Solve for x
    x = 899,010,272.25/19,605
  6. Step 6: Final answer
    x = 45,856.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.