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Finding the Third Proportional to 10,057.92 and 14,699.60

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Solution

The third proportional to 10,057.92 and 14,699.60 is: 21,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.92 : 14,699.60 = 14,699.60 : x
  2. Step 2: Convert to fraction form
    10,057.92/14,699.60 = 14,699.60/x
  3. Step 3: Cross multiply
    10,057.92x = 14,699.60 × 14,699.60
  4. Step 4: Simplify right side
    10,057.92x = 216,078,286.10
  5. Step 5: Solve for x
    x = 216,078,286.10/10,057.92
  6. Step 6: Final answer
    x = 21,483.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.