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Finding the Third Proportional to 12,374 and 25,964

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Solution

The third proportional to 12,374 and 25,964 is: 54,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374 : 25,964 = 25,964 : x
  2. Step 2: Convert to fraction form
    12,374/25,964 = 25,964/x
  3. Step 3: Cross multiply
    12,374x = 25,964 × 25,964
  4. Step 4: Simplify right side
    12,374x = 674,129,296
  5. Step 5: Solve for x
    x = 674,129,296/12,374
  6. Step 6: Final answer
    x = 54,479.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.