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Finding the Third Proportional to 14,533 and 21,702

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Solution

The third proportional to 14,533 and 21,702 is: 32,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533 : 21,702 = 21,702 : x
  2. Step 2: Convert to fraction form
    14,533/21,702 = 21,702/x
  3. Step 3: Cross multiply
    14,533x = 21,702 × 21,702
  4. Step 4: Simplify right side
    14,533x = 470,976,804
  5. Step 5: Solve for x
    x = 470,976,804/14,533
  6. Step 6: Final answer
    x = 32,407.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.