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Finding the Third Proportional to 4,643.42 and 7,053.96

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Solution

The third proportional to 4,643.42 and 7,053.96 is: 10,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.42 : 7,053.96 = 7,053.96 : x
  2. Step 2: Convert to fraction form
    4,643.42/7,053.96 = 7,053.96/x
  3. Step 3: Cross multiply
    4,643.42x = 7,053.96 × 7,053.96
  4. Step 4: Simplify right side
    4,643.42x = 49,758,364.91
  5. Step 5: Solve for x
    x = 49,758,364.91/4,643.42
  6. Step 6: Final answer
    x = 10,715.89

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.