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Finding the Third Proportional to 9,590.91 and 14,329.41

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Solution

The third proportional to 9,590.91 and 14,329.41 is: 21,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.91 : 14,329.41 = 14,329.41 : x
  2. Step 2: Convert to fraction form
    9,590.91/14,329.41 = 14,329.41/x
  3. Step 3: Cross multiply
    9,590.91x = 14,329.41 × 14,329.41
  4. Step 4: Simplify right side
    9,590.91x = 205,331,883.48
  5. Step 5: Solve for x
    x = 205,331,883.48/9,590.91
  6. Step 6: Final answer
    x = 21,409.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.