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Finding the Third Proportional to 6,763.13 and 10,088.63

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Solution

The third proportional to 6,763.13 and 10,088.63 is: 15,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.13 : 10,088.63 = 10,088.63 : x
  2. Step 2: Convert to fraction form
    6,763.13/10,088.63 = 10,088.63/x
  3. Step 3: Cross multiply
    6,763.13x = 10,088.63 × 10,088.63
  4. Step 4: Simplify right side
    6,763.13x = 101,780,354.39
  5. Step 5: Solve for x
    x = 101,780,354.39/6,763.13
  6. Step 6: Final answer
    x = 15,049.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.