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Finding the Third Proportional to 14,641 and 34,545

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Solution

The third proportional to 14,641 and 34,545 is: 81,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641 : 34,545 = 34,545 : x
  2. Step 2: Convert to fraction form
    14,641/34,545 = 34,545/x
  3. Step 3: Cross multiply
    14,641x = 34,545 × 34,545
  4. Step 4: Simplify right side
    14,641x = 1,193,357,025
  5. Step 5: Solve for x
    x = 1,193,357,025/14,641
  6. Step 6: Final answer
    x = 81,507.89

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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.