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Finding the Third Proportional to 7,298.38 and 10,400.69

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Solution

The third proportional to 7,298.38 and 10,400.69 is: 14,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.38 : 10,400.69 = 10,400.69 : x
  2. Step 2: Convert to fraction form
    7,298.38/10,400.69 = 10,400.69/x
  3. Step 3: Cross multiply
    7,298.38x = 10,400.69 × 10,400.69
  4. Step 4: Simplify right side
    7,298.38x = 108,174,300.47
  5. Step 5: Solve for x
    x = 108,174,300.47/7,298.38
  6. Step 6: Final answer
    x = 14,821.70

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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.