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Finding the Third Proportional to 23,095.75 and 37,195.88

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Solution

The third proportional to 23,095.75 and 37,195.88 is: 59,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.75 : 37,195.88 = 37,195.88 : x
  2. Step 2: Convert to fraction form
    23,095.75/37,195.88 = 37,195.88/x
  3. Step 3: Cross multiply
    23,095.75x = 37,195.88 × 37,195.88
  4. Step 4: Simplify right side
    23,095.75x = 1,383,533,117.02
  5. Step 5: Solve for x
    x = 1,383,533,117.02/23,095.75
  6. Step 6: Final answer
    x = 59,904.23

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.