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Finding the Third Proportional to 13,699.13 and 25,859.25

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Solution

The third proportional to 13,699.13 and 25,859.25 is: 48,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.13 : 25,859.25 = 25,859.25 : x
  2. Step 2: Convert to fraction form
    13,699.13/25,859.25 = 25,859.25/x
  3. Step 3: Cross multiply
    13,699.13x = 25,859.25 × 25,859.25
  4. Step 4: Simplify right side
    13,699.13x = 668,700,810.56
  5. Step 5: Solve for x
    x = 668,700,810.56/13,699.13
  6. Step 6: Final answer
    x = 48,813.40

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.