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Finding the Third Proportional to 7,535.74 and 11,085.82

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Solution

The third proportional to 7,535.74 and 11,085.82 is: 16,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.74 : 11,085.82 = 11,085.82 : x
  2. Step 2: Convert to fraction form
    7,535.74/11,085.82 = 11,085.82/x
  3. Step 3: Cross multiply
    7,535.74x = 11,085.82 × 11,085.82
  4. Step 4: Simplify right side
    7,535.74x = 122,895,412.00
  5. Step 5: Solve for x
    x = 122,895,412.00/7,535.74
  6. Step 6: Final answer
    x = 16,308.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.