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Finding the Third Proportional to 7,582.13 and 11,299.13

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Solution

The third proportional to 7,582.13 and 11,299.13 is: 16,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.13 : 11,299.13 = 11,299.13 : x
  2. Step 2: Convert to fraction form
    7,582.13/11,299.13 = 11,299.13/x
  3. Step 3: Cross multiply
    7,582.13x = 11,299.13 × 11,299.13
  4. Step 4: Simplify right side
    7,582.13x = 127,670,225.77
  5. Step 5: Solve for x
    x = 127,670,225.77/7,582.13
  6. Step 6: Final answer
    x = 16,838.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.