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Finding the Third Proportional to 7,693.13 and 11,000.63

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Solution

The third proportional to 7,693.13 and 11,000.63 is: 15,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.13 : 11,000.63 = 11,000.63 : x
  2. Step 2: Convert to fraction form
    7,693.13/11,000.63 = 11,000.63/x
  3. Step 3: Cross multiply
    7,693.13x = 11,000.63 × 11,000.63
  4. Step 4: Simplify right side
    7,693.13x = 121,013,750.39
  5. Step 5: Solve for x
    x = 121,013,750.39/7,693.13
  6. Step 6: Final answer
    x = 15,730.12

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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.