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Finding the Third Proportional to 27,613.50 and 59,097

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Solution

The third proportional to 27,613.50 and 59,097 is: 126,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.50 : 59,097 = 59,097 : x
  2. Step 2: Convert to fraction form
    27,613.50/59,097 = 59,097/x
  3. Step 3: Cross multiply
    27,613.50x = 59,097 × 59,097
  4. Step 4: Simplify right side
    27,613.50x = 3,492,455,409
  5. Step 5: Solve for x
    x = 3,492,455,409/27,613.50
  6. Step 6: Final answer
    x = 126,476.38

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