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Finding the Third Proportional to 18,315 and 32,809.50

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Solution

The third proportional to 18,315 and 32,809.50 is: 58,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,315 : 32,809.50 = 32,809.50 : x
  2. Step 2: Convert to fraction form
    18,315/32,809.50 = 32,809.50/x
  3. Step 3: Cross multiply
    18,315x = 32,809.50 × 32,809.50
  4. Step 4: Simplify right side
    18,315x = 1,076,463,290.25
  5. Step 5: Solve for x
    x = 1,076,463,290.25/18,315
  6. Step 6: Final answer
    x = 58,774.95

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.