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Finding the Third Proportional to 27,276.75 and 36,533.53

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Solution

The third proportional to 27,276.75 and 36,533.53 is: 48,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,276.75 : 36,533.53 = 36,533.53 : x
  2. Step 2: Convert to fraction form
    27,276.75/36,533.53 = 36,533.53/x
  3. Step 3: Cross multiply
    27,276.75x = 36,533.53 × 36,533.53
  4. Step 4: Simplify right side
    27,276.75x = 1,334,698,905.59
  5. Step 5: Solve for x
    x = 1,334,698,905.59/27,276.75
  6. Step 6: Final answer
    x = 48,931.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.