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Finding the Third Proportional to 14,605 and 23,729

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Solution

The third proportional to 14,605 and 23,729 is: 38,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605 : 23,729 = 23,729 : x
  2. Step 2: Convert to fraction form
    14,605/23,729 = 23,729/x
  3. Step 3: Cross multiply
    14,605x = 23,729 × 23,729
  4. Step 4: Simplify right side
    14,605x = 563,065,441
  5. Step 5: Solve for x
    x = 563,065,441/14,605
  6. Step 6: Final answer
    x = 38,552.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.