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Finding the Third Proportional to 10,701.49 and 16,054.14

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Solution

The third proportional to 10,701.49 and 16,054.14 is: 24,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.49 : 16,054.14 = 16,054.14 : x
  2. Step 2: Convert to fraction form
    10,701.49/16,054.14 = 16,054.14/x
  3. Step 3: Cross multiply
    10,701.49x = 16,054.14 × 16,054.14
  4. Step 4: Simplify right side
    10,701.49x = 257,735,305.78
  5. Step 5: Solve for x
    x = 257,735,305.78/10,701.49
  6. Step 6: Final answer
    x = 24,084.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.