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Finding the Third Proportional to 27,580.50 and 59,533.88

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Solution

The third proportional to 27,580.50 and 59,533.88 is: 128,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.50 : 59,533.88 = 59,533.88 : x
  2. Step 2: Convert to fraction form
    27,580.50/59,533.88 = 59,533.88/x
  3. Step 3: Cross multiply
    27,580.50x = 59,533.88 × 59,533.88
  4. Step 4: Simplify right side
    27,580.50x = 3,544,282,272.52
  5. Step 5: Solve for x
    x = 3,544,282,272.52/27,580.50
  6. Step 6: Final answer
    x = 128,506.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.