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Finding the Third Proportional to 29,520 and 54,733.50

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Solution

The third proportional to 29,520 and 54,733.50 is: 101,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,520 : 54,733.50 = 54,733.50 : x
  2. Step 2: Convert to fraction form
    29,520/54,733.50 = 54,733.50/x
  3. Step 3: Cross multiply
    29,520x = 54,733.50 × 54,733.50
  4. Step 4: Simplify right side
    29,520x = 2,995,756,022.25
  5. Step 5: Solve for x
    x = 2,995,756,022.25/29,520
  6. Step 6: Final answer
    x = 101,482.25

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.