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Finding the Third Proportional to 10,370.63 and 16,084.88

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Solution

The third proportional to 10,370.63 and 16,084.88 is: 24,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.63 : 16,084.88 = 16,084.88 : x
  2. Step 2: Convert to fraction form
    10,370.63/16,084.88 = 16,084.88/x
  3. Step 3: Cross multiply
    10,370.63x = 16,084.88 × 16,084.88
  4. Step 4: Simplify right side
    10,370.63x = 258,723,203.77
  5. Step 5: Solve for x
    x = 258,723,203.77/10,370.63
  6. Step 6: Final answer
    x = 24,947.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.