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Finding the Third Proportional to 7,000.13 and 10,483.31

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Solution

The third proportional to 7,000.13 and 10,483.31 is: 15,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.13 : 10,483.31 = 10,483.31 : x
  2. Step 2: Convert to fraction form
    7,000.13/10,483.31 = 10,483.31/x
  3. Step 3: Cross multiply
    7,000.13x = 10,483.31 × 10,483.31
  4. Step 4: Simplify right side
    7,000.13x = 109,899,840.97
  5. Step 5: Solve for x
    x = 109,899,840.97/7,000.13
  6. Step 6: Final answer
    x = 15,699.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.