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Finding the Third Proportional to 12,323 and 26,723

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Solution

The third proportional to 12,323 and 26,723 is: 57,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323 : 26,723 = 26,723 : x
  2. Step 2: Convert to fraction form
    12,323/26,723 = 26,723/x
  3. Step 3: Cross multiply
    12,323x = 26,723 × 26,723
  4. Step 4: Simplify right side
    12,323x = 714,118,729
  5. Step 5: Solve for x
    x = 714,118,729/12,323
  6. Step 6: Final answer
    x = 57,950.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.