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Finding the Third Proportional to 14,643 and 34,550

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Solution

The third proportional to 14,643 and 34,550 is: 81,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643 : 34,550 = 34,550 : x
  2. Step 2: Convert to fraction form
    14,643/34,550 = 34,550/x
  3. Step 3: Cross multiply
    14,643x = 34,550 × 34,550
  4. Step 4: Simplify right side
    14,643x = 1,193,702,500
  5. Step 5: Solve for x
    x = 1,193,702,500/14,643
  6. Step 6: Final answer
    x = 81,520.35

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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.