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Finding the Third Proportional to 4,798.83 and 7,403.27

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Solution

The third proportional to 4,798.83 and 7,403.27 is: 11,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.83 : 7,403.27 = 7,403.27 : x
  2. Step 2: Convert to fraction form
    4,798.83/7,403.27 = 7,403.27/x
  3. Step 3: Cross multiply
    4,798.83x = 7,403.27 × 7,403.27
  4. Step 4: Simplify right side
    4,798.83x = 54,808,457.59
  5. Step 5: Solve for x
    x = 54,808,457.59/4,798.83
  6. Step 6: Final answer
    x = 11,421.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.