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Finding the Third Proportional to 14,429.25 and 22,555.13

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Solution

The third proportional to 14,429.25 and 22,555.13 is: 35,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.25 : 22,555.13 = 22,555.13 : x
  2. Step 2: Convert to fraction form
    14,429.25/22,555.13 = 22,555.13/x
  3. Step 3: Cross multiply
    14,429.25x = 22,555.13 × 22,555.13
  4. Step 4: Simplify right side
    14,429.25x = 508,733,663.77
  5. Step 5: Solve for x
    x = 508,733,663.77/14,429.25
  6. Step 6: Final answer
    x = 35,257.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.