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Finding the Third Proportional to 9,709.35 and 14,573.64

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Solution

The third proportional to 9,709.35 and 14,573.64 is: 21,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.35 : 14,573.64 = 14,573.64 : x
  2. Step 2: Convert to fraction form
    9,709.35/14,573.64 = 14,573.64/x
  3. Step 3: Cross multiply
    9,709.35x = 14,573.64 × 14,573.64
  4. Step 4: Simplify right side
    9,709.35x = 212,390,903.22
  5. Step 5: Solve for x
    x = 212,390,903.22/9,709.35
  6. Step 6: Final answer
    x = 21,874.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.