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Finding the Third Proportional to 25,191 and 37,791

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Solution

The third proportional to 25,191 and 37,791 is: 56,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191 : 37,791 = 37,791 : x
  2. Step 2: Convert to fraction form
    25,191/37,791 = 37,791/x
  3. Step 3: Cross multiply
    25,191x = 37,791 × 37,791
  4. Step 4: Simplify right side
    25,191x = 1,428,159,681
  5. Step 5: Solve for x
    x = 1,428,159,681/25,191
  6. Step 6: Final answer
    x = 56,693.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.