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Finding the Third Proportional to 18,653 and 28,159.50

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Solution

The third proportional to 18,653 and 28,159.50 is: 42,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653 : 28,159.50 = 28,159.50 : x
  2. Step 2: Convert to fraction form
    18,653/28,159.50 = 28,159.50/x
  3. Step 3: Cross multiply
    18,653x = 28,159.50 × 28,159.50
  4. Step 4: Simplify right side
    18,653x = 792,957,440.25
  5. Step 5: Solve for x
    x = 792,957,440.25/18,653
  6. Step 6: Final answer
    x = 42,510.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.