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Finding the Third Proportional to 4,913.16 and 7,187.48

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Solution

The third proportional to 4,913.16 and 7,187.48 is: 10,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.16 : 7,187.48 = 7,187.48 : x
  2. Step 2: Convert to fraction form
    4,913.16/7,187.48 = 7,187.48/x
  3. Step 3: Cross multiply
    4,913.16x = 7,187.48 × 7,187.48
  4. Step 4: Simplify right side
    4,913.16x = 51,659,931.64
  5. Step 5: Solve for x
    x = 51,659,931.64/4,913.16
  6. Step 6: Final answer
    x = 10,514.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.