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Finding the Third Proportional to 23,631.75 and 31,050.84

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Solution

The third proportional to 23,631.75 and 31,050.84 is: 40,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,631.75 : 31,050.84 = 31,050.84 : x
  2. Step 2: Convert to fraction form
    23,631.75/31,050.84 = 31,050.84/x
  3. Step 3: Cross multiply
    23,631.75x = 31,050.84 × 31,050.84
  4. Step 4: Simplify right side
    23,631.75x = 964,154,897.59
  5. Step 5: Solve for x
    x = 964,154,897.59/23,631.75
  6. Step 6: Final answer
    x = 40,799.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.