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Finding the Third Proportional to 25,297 and 37,915

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Solution

The third proportional to 25,297 and 37,915 is: 56,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297 : 37,915 = 37,915 : x
  2. Step 2: Convert to fraction form
    25,297/37,915 = 37,915/x
  3. Step 3: Cross multiply
    25,297x = 37,915 × 37,915
  4. Step 4: Simplify right side
    25,297x = 1,437,547,225
  5. Step 5: Solve for x
    x = 1,437,547,225/25,297
  6. Step 6: Final answer
    x = 56,826.79

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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.