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Finding the Third Proportional to 23,678.44 and 36,573.19

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Solution

The third proportional to 23,678.44 and 36,573.19 is: 56,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.44 : 36,573.19 = 36,573.19 : x
  2. Step 2: Convert to fraction form
    23,678.44/36,573.19 = 36,573.19/x
  3. Step 3: Cross multiply
    23,678.44x = 36,573.19 × 36,573.19
  4. Step 4: Simplify right side
    23,678.44x = 1,337,598,043.91
  5. Step 5: Solve for x
    x = 1,337,598,043.91/23,678.44
  6. Step 6: Final answer
    x = 56,490.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.