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Finding the Third Proportional to 10,497.09 and 14,945.34

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Solution

The third proportional to 10,497.09 and 14,945.34 is: 21,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.09 : 14,945.34 = 14,945.34 : x
  2. Step 2: Convert to fraction form
    10,497.09/14,945.34 = 14,945.34/x
  3. Step 3: Cross multiply
    10,497.09x = 14,945.34 × 14,945.34
  4. Step 4: Simplify right side
    10,497.09x = 223,363,299.81
  5. Step 5: Solve for x
    x = 223,363,299.81/10,497.09
  6. Step 6: Final answer
    x = 21,278.58

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.