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Finding the Third Proportional to 25,051 and 37,497

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Solution

The third proportional to 25,051 and 37,497 is: 56,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051 : 37,497 = 37,497 : x
  2. Step 2: Convert to fraction form
    25,051/37,497 = 37,497/x
  3. Step 3: Cross multiply
    25,051x = 37,497 × 37,497
  4. Step 4: Simplify right side
    25,051x = 1,406,025,009
  5. Step 5: Solve for x
    x = 1,406,025,009/25,051
  6. Step 6: Final answer
    x = 56,126.50

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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.