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Finding the Third Proportional to 12,386 and 25,376

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Solution

The third proportional to 12,386 and 25,376 is: 51,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386 : 25,376 = 25,376 : x
  2. Step 2: Convert to fraction form
    12,386/25,376 = 25,376/x
  3. Step 3: Cross multiply
    12,386x = 25,376 × 25,376
  4. Step 4: Simplify right side
    12,386x = 643,941,376
  5. Step 5: Solve for x
    x = 643,941,376/12,386
  6. Step 6: Final answer
    x = 51,989.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.