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Finding the Third Proportional to 23,284.13 and 31,600.13

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Solution

The third proportional to 23,284.13 and 31,600.13 is: 42,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.13 : 31,600.13 = 31,600.13 : x
  2. Step 2: Convert to fraction form
    23,284.13/31,600.13 = 31,600.13/x
  3. Step 3: Cross multiply
    23,284.13x = 31,600.13 × 31,600.13
  4. Step 4: Simplify right side
    23,284.13x = 998,567,900.02
  5. Step 5: Solve for x
    x = 998,567,900.02/23,284.13
  6. Step 6: Final answer
    x = 42,886.21

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