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Finding the Third Proportional to 23,490.21 and 31,914.11

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Solution

The third proportional to 23,490.21 and 31,914.11 is: 43,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490.21 : 31,914.11 = 31,914.11 : x
  2. Step 2: Convert to fraction form
    23,490.21/31,914.11 = 31,914.11/x
  3. Step 3: Cross multiply
    23,490.21x = 31,914.11 × 31,914.11
  4. Step 4: Simplify right side
    23,490.21x = 1,018,510,127.87
  5. Step 5: Solve for x
    x = 1,018,510,127.87/23,490.21
  6. Step 6: Final answer
    x = 43,358.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.