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Finding the Third Proportional to 14,644 and 34,553

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Solution

The third proportional to 14,644 and 34,553 is: 81,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644 : 34,553 = 34,553 : x
  2. Step 2: Convert to fraction form
    14,644/34,553 = 34,553/x
  3. Step 3: Cross multiply
    14,644x = 34,553 × 34,553
  4. Step 4: Simplify right side
    14,644x = 1,193,909,809
  5. Step 5: Solve for x
    x = 1,193,909,809/14,644
  6. Step 6: Final answer
    x = 81,528.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.