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Finding the Third Proportional to 14,496 and 21,688

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Solution

The third proportional to 14,496 and 21,688 is: 32,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496 : 21,688 = 21,688 : x
  2. Step 2: Convert to fraction form
    14,496/21,688 = 21,688/x
  3. Step 3: Cross multiply
    14,496x = 21,688 × 21,688
  4. Step 4: Simplify right side
    14,496x = 470,369,344
  5. Step 5: Solve for x
    x = 470,369,344/14,496
  6. Step 6: Final answer
    x = 32,448.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.