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Finding the Third Proportional to 7,029.91 and 10,513.55

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Solution

The third proportional to 7,029.91 and 10,513.55 is: 15,723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.91 : 10,513.55 = 10,513.55 : x
  2. Step 2: Convert to fraction form
    7,029.91/10,513.55 = 10,513.55/x
  3. Step 3: Cross multiply
    7,029.91x = 10,513.55 × 10,513.55
  4. Step 4: Simplify right side
    7,029.91x = 110,534,667.89
  5. Step 5: Solve for x
    x = 110,534,667.89/7,029.91
  6. Step 6: Final answer
    x = 15,723.47

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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.