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Finding the Third Proportional to 27,036 and 57,808.50

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Solution

The third proportional to 27,036 and 57,808.50 is: 123,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036 : 57,808.50 = 57,808.50 : x
  2. Step 2: Convert to fraction form
    27,036/57,808.50 = 57,808.50/x
  3. Step 3: Cross multiply
    27,036x = 57,808.50 × 57,808.50
  4. Step 4: Simplify right side
    27,036x = 3,341,822,672.25
  5. Step 5: Solve for x
    x = 3,341,822,672.25/27,036
  6. Step 6: Final answer
    x = 123,606.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.