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Finding the Third Proportional to 14,702 and 23,424

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Solution

The third proportional to 14,702 and 23,424 is: 37,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702 : 23,424 = 23,424 : x
  2. Step 2: Convert to fraction form
    14,702/23,424 = 23,424/x
  3. Step 3: Cross multiply
    14,702x = 23,424 × 23,424
  4. Step 4: Simplify right side
    14,702x = 548,683,776
  5. Step 5: Solve for x
    x = 548,683,776/14,702
  6. Step 6: Final answer
    x = 37,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.