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Finding the Third Proportional to 14,035 and 22,366.50

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Solution

The third proportional to 14,035 and 22,366.50 is: 35,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035 : 22,366.50 = 22,366.50 : x
  2. Step 2: Convert to fraction form
    14,035/22,366.50 = 22,366.50/x
  3. Step 3: Cross multiply
    14,035x = 22,366.50 × 22,366.50
  4. Step 4: Simplify right side
    14,035x = 500,260,322.25
  5. Step 5: Solve for x
    x = 500,260,322.25/14,035
  6. Step 6: Final answer
    x = 35,643.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.