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Finding the Third Proportional to 6,341.63 and 7,030.13

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Solution

The third proportional to 6,341.63 and 7,030.13 is: 7,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.63 : 7,030.13 = 7,030.13 : x
  2. Step 2: Convert to fraction form
    6,341.63/7,030.13 = 7,030.13/x
  3. Step 3: Cross multiply
    6,341.63x = 7,030.13 × 7,030.13
  4. Step 4: Simplify right side
    6,341.63x = 49,422,657.52
  5. Step 5: Solve for x
    x = 49,422,657.52/6,341.63
  6. Step 6: Final answer
    x = 7,793.37

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.