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Finding the Third Proportional to 23,176.13 and 31,483.69

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Solution

The third proportional to 23,176.13 and 31,483.69 is: 42,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.13 : 31,483.69 = 31,483.69 : x
  2. Step 2: Convert to fraction form
    23,176.13/31,483.69 = 31,483.69/x
  3. Step 3: Cross multiply
    23,176.13x = 31,483.69 × 31,483.69
  4. Step 4: Simplify right side
    23,176.13x = 991,222,578.60
  5. Step 5: Solve for x
    x = 991,222,578.60/23,176.13
  6. Step 6: Final answer
    x = 42,769.12

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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.