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Finding the Third Proportional to 14,359.78 and 22,318.03

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Solution

The third proportional to 14,359.78 and 22,318.03 is: 34,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.78 : 22,318.03 = 22,318.03 : x
  2. Step 2: Convert to fraction form
    14,359.78/22,318.03 = 22,318.03/x
  3. Step 3: Cross multiply
    14,359.78x = 22,318.03 × 22,318.03
  4. Step 4: Simplify right side
    14,359.78x = 498,094,518.88
  5. Step 5: Solve for x
    x = 498,094,518.88/14,359.78
  6. Step 6: Final answer
    x = 34,686.78

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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.