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Finding the Third Proportional to 27,690.75 and 59,314.50

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Solution

The third proportional to 27,690.75 and 59,314.50 is: 127,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690.75 : 59,314.50 = 59,314.50 : x
  2. Step 2: Convert to fraction form
    27,690.75/59,314.50 = 59,314.50/x
  3. Step 3: Cross multiply
    27,690.75x = 59,314.50 × 59,314.50
  4. Step 4: Simplify right side
    27,690.75x = 3,518,209,910.25
  5. Step 5: Solve for x
    x = 3,518,209,910.25/27,690.75
  6. Step 6: Final answer
    x = 127,053.62

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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.