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Finding the Third Proportional to 13,590.13 and 19,137.88

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Solution

The third proportional to 13,590.13 and 19,137.88 is: 26,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.13 : 19,137.88 = 19,137.88 : x
  2. Step 2: Convert to fraction form
    13,590.13/19,137.88 = 19,137.88/x
  3. Step 3: Cross multiply
    13,590.13x = 19,137.88 × 19,137.88
  4. Step 4: Simplify right side
    13,590.13x = 366,258,259.52
  5. Step 5: Solve for x
    x = 366,258,259.52/13,590.13
  6. Step 6: Final answer
    x = 26,950.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.