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Finding the Third Proportional to 19,713 and 45,589.50

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Solution

The third proportional to 19,713 and 45,589.50 is: 105,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713 : 45,589.50 = 45,589.50 : x
  2. Step 2: Convert to fraction form
    19,713/45,589.50 = 45,589.50/x
  3. Step 3: Cross multiply
    19,713x = 45,589.50 × 45,589.50
  4. Step 4: Simplify right side
    19,713x = 2,078,402,510.25
  5. Step 5: Solve for x
    x = 2,078,402,510.25/19,713
  6. Step 6: Final answer
    x = 105,433.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.