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Finding the Third Proportional to 12,507 and 24,663

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Solution

The third proportional to 12,507 and 24,663 is: 48,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507 : 24,663 = 24,663 : x
  2. Step 2: Convert to fraction form
    12,507/24,663 = 24,663/x
  3. Step 3: Cross multiply
    12,507x = 24,663 × 24,663
  4. Step 4: Simplify right side
    12,507x = 608,263,569
  5. Step 5: Solve for x
    x = 608,263,569/12,507
  6. Step 6: Final answer
    x = 48,633.85

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.