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Finding the Third Proportional to 23,302.69 and 35,386.88

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Solution

The third proportional to 23,302.69 and 35,386.88 is: 53,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.69 : 35,386.88 = 35,386.88 : x
  2. Step 2: Convert to fraction form
    23,302.69/35,386.88 = 35,386.88/x
  3. Step 3: Cross multiply
    23,302.69x = 35,386.88 × 35,386.88
  4. Step 4: Simplify right side
    23,302.69x = 1,252,230,922.27
  5. Step 5: Solve for x
    x = 1,252,230,922.27/23,302.69
  6. Step 6: Final answer
    x = 53,737.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.