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Finding the Third Proportional to 5,194.13 and 7,430.06

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Solution

The third proportional to 5,194.13 and 7,430.06 is: 10,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.13 : 7,430.06 = 7,430.06 : x
  2. Step 2: Convert to fraction form
    5,194.13/7,430.06 = 7,430.06/x
  3. Step 3: Cross multiply
    5,194.13x = 7,430.06 × 7,430.06
  4. Step 4: Simplify right side
    5,194.13x = 55,205,828.75
  5. Step 5: Solve for x
    x = 55,205,828.75/5,194.13
  6. Step 6: Final answer
    x = 10,628.51

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.