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Finding the Third Proportional to 5,259.94 and 13,686.47

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Solution

The third proportional to 5,259.94 and 13,686.47 is: 35,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.94 : 13,686.47 = 13,686.47 : x
  2. Step 2: Convert to fraction form
    5,259.94/13,686.47 = 13,686.47/x
  3. Step 3: Cross multiply
    5,259.94x = 13,686.47 × 13,686.47
  4. Step 4: Simplify right side
    5,259.94x = 187,319,426.84
  5. Step 5: Solve for x
    x = 187,319,426.84/5,259.94
  6. Step 6: Final answer
    x = 35,612.48

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.