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Finding the Third Proportional to 9,811.13 and 14,859.07

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Solution

The third proportional to 9,811.13 and 14,859.07 is: 22,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.13 : 14,859.07 = 14,859.07 : x
  2. Step 2: Convert to fraction form
    9,811.13/14,859.07 = 14,859.07/x
  3. Step 3: Cross multiply
    9,811.13x = 14,859.07 × 14,859.07
  4. Step 4: Simplify right side
    9,811.13x = 220,791,970.55
  5. Step 5: Solve for x
    x = 220,791,970.55/9,811.13
  6. Step 6: Final answer
    x = 22,504.25

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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.