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Finding the Third Proportional to 6,427.69 and 15,114.94

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Solution

The third proportional to 6,427.69 and 15,114.94 is: 35,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.69 : 15,114.94 = 15,114.94 : x
  2. Step 2: Convert to fraction form
    6,427.69/15,114.94 = 15,114.94/x
  3. Step 3: Cross multiply
    6,427.69x = 15,114.94 × 15,114.94
  4. Step 4: Simplify right side
    6,427.69x = 228,461,335.63
  5. Step 5: Solve for x
    x = 228,461,335.63/6,427.69
  6. Step 6: Final answer
    x = 35,543.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.