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Finding the Third Proportional to 7,653.13 and 11,217.63

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Solution

The third proportional to 7,653.13 and 11,217.63 is: 16,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.13 : 11,217.63 = 11,217.63 : x
  2. Step 2: Convert to fraction form
    7,653.13/11,217.63 = 11,217.63/x
  3. Step 3: Cross multiply
    7,653.13x = 11,217.63 × 11,217.63
  4. Step 4: Simplify right side
    7,653.13x = 125,835,110.64
  5. Step 5: Solve for x
    x = 125,835,110.64/7,653.13
  6. Step 6: Final answer
    x = 16,442.32

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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.