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Finding the Third Proportional to 9,597.80 and 14,530.99

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Solution

The third proportional to 9,597.80 and 14,530.99 is: 21,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.80 : 14,530.99 = 14,530.99 : x
  2. Step 2: Convert to fraction form
    9,597.80/14,530.99 = 14,530.99/x
  3. Step 3: Cross multiply
    9,597.80x = 14,530.99 × 14,530.99
  4. Step 4: Simplify right side
    9,597.80x = 211,149,733.95
  5. Step 5: Solve for x
    x = 211,149,733.95/9,597.80
  6. Step 6: Final answer
    x = 21,999.81

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