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Finding the Third Proportional to 14,817 and 32,553

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Solution

The third proportional to 14,817 and 32,553 is: 71,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817 : 32,553 = 32,553 : x
  2. Step 2: Convert to fraction form
    14,817/32,553 = 32,553/x
  3. Step 3: Cross multiply
    14,817x = 32,553 × 32,553
  4. Step 4: Simplify right side
    14,817x = 1,059,697,809
  5. Step 5: Solve for x
    x = 1,059,697,809/14,817
  6. Step 6: Final answer
    x = 71,519.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.