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Finding the Third Proportional to 9,259.88 and 13,970.81

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Solution

The third proportional to 9,259.88 and 13,970.81 is: 21,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.88 : 13,970.81 = 13,970.81 : x
  2. Step 2: Convert to fraction form
    9,259.88/13,970.81 = 13,970.81/x
  3. Step 3: Cross multiply
    9,259.88x = 13,970.81 × 13,970.81
  4. Step 4: Simplify right side
    9,259.88x = 195,183,601.91
  5. Step 5: Solve for x
    x = 195,183,601.91/9,259.88
  6. Step 6: Final answer
    x = 21,078.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.