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Finding the Third Proportional to 12,312 and 26,376

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Solution

The third proportional to 12,312 and 26,376 is: 56,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 26,376 = 26,376 : x
  2. Step 2: Convert to fraction form
    12,312/26,376 = 26,376/x
  3. Step 3: Cross multiply
    12,312x = 26,376 × 26,376
  4. Step 4: Simplify right side
    12,312x = 695,693,376
  5. Step 5: Solve for x
    x = 695,693,376/12,312
  6. Step 6: Final answer
    x = 56,505.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.