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Finding the Third Proportional to 10,335.09 and 13,566.23

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Solution

The third proportional to 10,335.09 and 13,566.23 is: 17,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.09 : 13,566.23 = 13,566.23 : x
  2. Step 2: Convert to fraction form
    10,335.09/13,566.23 = 13,566.23/x
  3. Step 3: Cross multiply
    10,335.09x = 13,566.23 × 13,566.23
  4. Step 4: Simplify right side
    10,335.09x = 184,042,715.12
  5. Step 5: Solve for x
    x = 184,042,715.12/10,335.09
  6. Step 6: Final answer
    x = 17,807.55

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.