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Finding the Third Proportional to 14,206.64 and 22,059.84

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Solution

The third proportional to 14,206.64 and 22,059.84 is: 34,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.64 : 22,059.84 = 22,059.84 : x
  2. Step 2: Convert to fraction form
    14,206.64/22,059.84 = 22,059.84/x
  3. Step 3: Cross multiply
    14,206.64x = 22,059.84 × 22,059.84
  4. Step 4: Simplify right side
    14,206.64x = 486,636,706.27
  5. Step 5: Solve for x
    x = 486,636,706.27/14,206.64
  6. Step 6: Final answer
    x = 34,254.17

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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.