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Finding the Third Proportional to 7,430.06 and 12,238.59

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Solution

The third proportional to 7,430.06 and 12,238.59 is: 20,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.06 : 12,238.59 = 12,238.59 : x
  2. Step 2: Convert to fraction form
    7,430.06/12,238.59 = 12,238.59/x
  3. Step 3: Cross multiply
    7,430.06x = 12,238.59 × 12,238.59
  4. Step 4: Simplify right side
    7,430.06x = 149,783,176.98
  5. Step 5: Solve for x
    x = 149,783,176.98/7,430.06
  6. Step 6: Final answer
    x = 20,159.07

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.