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Finding the Third Proportional to 14,395.85 and 22,208.87

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Solution

The third proportional to 14,395.85 and 22,208.87 is: 34,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,395.85 : 22,208.87 = 22,208.87 : x
  2. Step 2: Convert to fraction form
    14,395.85/22,208.87 = 22,208.87/x
  3. Step 3: Cross multiply
    14,395.85x = 22,208.87 × 22,208.87
  4. Step 4: Simplify right side
    14,395.85x = 493,233,955.26
  5. Step 5: Solve for x
    x = 493,233,955.26/14,395.85
  6. Step 6: Final answer
    x = 34,262.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.