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Finding the Third Proportional to 23,505.19 and 36,687.94

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Solution

The third proportional to 23,505.19 and 36,687.94 is: 57,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.19 : 36,687.94 = 36,687.94 : x
  2. Step 2: Convert to fraction form
    23,505.19/36,687.94 = 36,687.94/x
  3. Step 3: Cross multiply
    23,505.19x = 36,687.94 × 36,687.94
  4. Step 4: Simplify right side
    23,505.19x = 1,346,004,758.00
  5. Step 5: Solve for x
    x = 1,346,004,758.00/23,505.19
  6. Step 6: Final answer
    x = 57,264.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.