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Finding the Third Proportional to 14,643 and 22,709.25

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Solution

The third proportional to 14,643 and 22,709.25 is: 35,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643 : 22,709.25 = 22,709.25 : x
  2. Step 2: Convert to fraction form
    14,643/22,709.25 = 22,709.25/x
  3. Step 3: Cross multiply
    14,643x = 22,709.25 × 22,709.25
  4. Step 4: Simplify right side
    14,643x = 515,710,035.56
  5. Step 5: Solve for x
    x = 515,710,035.56/14,643
  6. Step 6: Final answer
    x = 35,218.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.