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Finding the Third Proportional to 17,769.38 and 25,925.06

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Solution

The third proportional to 17,769.38 and 25,925.06 is: 37,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769.38 : 25,925.06 = 25,925.06 : x
  2. Step 2: Convert to fraction form
    17,769.38/25,925.06 = 25,925.06/x
  3. Step 3: Cross multiply
    17,769.38x = 25,925.06 × 25,925.06
  4. Step 4: Simplify right side
    17,769.38x = 672,108,865.63
  5. Step 5: Solve for x
    x = 672,108,865.63/17,769.38
  6. Step 6: Final answer
    x = 37,824.00

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.