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Finding the Third Proportional to 27,010.50 and 58,894.50

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Solution

The third proportional to 27,010.50 and 58,894.50 is: 128,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010.50 : 58,894.50 = 58,894.50 : x
  2. Step 2: Convert to fraction form
    27,010.50/58,894.50 = 58,894.50/x
  3. Step 3: Cross multiply
    27,010.50x = 58,894.50 × 58,894.50
  4. Step 4: Simplify right side
    27,010.50x = 3,468,562,130.25
  5. Step 5: Solve for x
    x = 3,468,562,130.25/27,010.50
  6. Step 6: Final answer
    x = 128,415.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.