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Finding the Third Proportional to 17,201 and 40,218.50

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Solution

The third proportional to 17,201 and 40,218.50 is: 94,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201 : 40,218.50 = 40,218.50 : x
  2. Step 2: Convert to fraction form
    17,201/40,218.50 = 40,218.50/x
  3. Step 3: Cross multiply
    17,201x = 40,218.50 × 40,218.50
  4. Step 4: Simplify right side
    17,201x = 1,617,527,742.25
  5. Step 5: Solve for x
    x = 1,617,527,742.25/17,201
  6. Step 6: Final answer
    x = 94,036.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.