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Finding the Third Proportional to 14,430 and 21,645

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Solution

The third proportional to 14,430 and 21,645 is: 32,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430 : 21,645 = 21,645 : x
  2. Step 2: Convert to fraction form
    14,430/21,645 = 21,645/x
  3. Step 3: Cross multiply
    14,430x = 21,645 × 21,645
  4. Step 4: Simplify right side
    14,430x = 468,506,025
  5. Step 5: Solve for x
    x = 468,506,025/14,430
  6. Step 6: Final answer
    x = 32,467.50

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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.