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Finding the Third Proportional to 47.53 and 112.08

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Solution

The third proportional to 47.53 and 112.08 is: 264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.53 : 112.08 = 112.08 : x
  2. Step 2: Convert to fraction form
    47.53/112.08 = 112.08/x
  3. Step 3: Cross multiply
    47.53x = 112.08 × 112.08
  4. Step 4: Simplify right side
    47.53x = 12,561.51
  5. Step 5: Solve for x
    x = 12,561.51/47.53
  6. Step 6: Final answer
    x = 264.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.