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Finding the Third Proportional to 4,055.06 and 6,530.63

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Solution

The third proportional to 4,055.06 and 6,530.63 is: 10,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.06 : 6,530.63 = 6,530.63 : x
  2. Step 2: Convert to fraction form
    4,055.06/6,530.63 = 6,530.63/x
  3. Step 3: Cross multiply
    4,055.06x = 6,530.63 × 6,530.63
  4. Step 4: Simplify right side
    4,055.06x = 42,649,062.89
  5. Step 5: Solve for x
    x = 42,649,062.89/4,055.06
  6. Step 6: Final answer
    x = 10,517.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.