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Finding the Third Proportional to 25,142.91 and 34,187.06

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Solution

The third proportional to 25,142.91 and 34,187.06 is: 46,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.91 : 34,187.06 = 34,187.06 : x
  2. Step 2: Convert to fraction form
    25,142.91/34,187.06 = 34,187.06/x
  3. Step 3: Cross multiply
    25,142.91x = 34,187.06 × 34,187.06
  4. Step 4: Simplify right side
    25,142.91x = 1,168,755,242.38
  5. Step 5: Solve for x
    x = 1,168,755,242.38/25,142.91
  6. Step 6: Final answer
    x = 46,484.49

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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.