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Finding the Third Proportional to 10,048.92 and 12,174.05

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Solution

The third proportional to 10,048.92 and 12,174.05 is: 14,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.92 : 12,174.05 = 12,174.05 : x
  2. Step 2: Convert to fraction form
    10,048.92/12,174.05 = 12,174.05/x
  3. Step 3: Cross multiply
    10,048.92x = 12,174.05 × 12,174.05
  4. Step 4: Simplify right side
    10,048.92x = 148,207,417.31
  5. Step 5: Solve for x
    x = 148,207,417.31/10,048.92
  6. Step 6: Final answer
    x = 14,748.59

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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.