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Finding the Third Proportional to 18,598.50 and 19,327.50

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Solution

The third proportional to 18,598.50 and 19,327.50 is: 20,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.50 : 19,327.50 = 19,327.50 : x
  2. Step 2: Convert to fraction form
    18,598.50/19,327.50 = 19,327.50/x
  3. Step 3: Cross multiply
    18,598.50x = 19,327.50 × 19,327.50
  4. Step 4: Simplify right side
    18,598.50x = 373,552,256.25
  5. Step 5: Solve for x
    x = 373,552,256.25/18,598.50
  6. Step 6: Final answer
    x = 20,085.07

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.