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Finding the Third Proportional to 10,092.09 and 12,225.94

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Solution

The third proportional to 10,092.09 and 12,225.94 is: 14,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.09 : 12,225.94 = 12,225.94 : x
  2. Step 2: Convert to fraction form
    10,092.09/12,225.94 = 12,225.94/x
  3. Step 3: Cross multiply
    10,092.09x = 12,225.94 × 12,225.94
  4. Step 4: Simplify right side
    10,092.09x = 149,473,547.75
  5. Step 5: Solve for x
    x = 149,473,547.75/10,092.09
  6. Step 6: Final answer
    x = 14,810.96

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.