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Finding the Third Proportional to 25,307 and 37,964

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Solution

The third proportional to 25,307 and 37,964 is: 56,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307 : 37,964 = 37,964 : x
  2. Step 2: Convert to fraction form
    25,307/37,964 = 37,964/x
  3. Step 3: Cross multiply
    25,307x = 37,964 × 37,964
  4. Step 4: Simplify right side
    25,307x = 1,441,265,296
  5. Step 5: Solve for x
    x = 1,441,265,296/25,307
  6. Step 6: Final answer
    x = 56,951.25

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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.