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Finding the Third Proportional to 7,862.63 and 10,999.69

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Solution

The third proportional to 7,862.63 and 10,999.69 is: 15,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.63 : 10,999.69 = 10,999.69 : x
  2. Step 2: Convert to fraction form
    7,862.63/10,999.69 = 10,999.69/x
  3. Step 3: Cross multiply
    7,862.63x = 10,999.69 × 10,999.69
  4. Step 4: Simplify right side
    7,862.63x = 120,993,125.10
  5. Step 5: Solve for x
    x = 120,993,125.10/7,862.63
  6. Step 6: Final answer
    x = 15,388.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.