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Finding the Third Proportional to 4,347.56 and 6,541.31

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Solution

The third proportional to 4,347.56 and 6,541.31 is: 9,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.56 : 6,541.31 = 6,541.31 : x
  2. Step 2: Convert to fraction form
    4,347.56/6,541.31 = 6,541.31/x
  3. Step 3: Cross multiply
    4,347.56x = 6,541.31 × 6,541.31
  4. Step 4: Simplify right side
    4,347.56x = 42,788,769.22
  5. Step 5: Solve for x
    x = 42,788,769.22/4,347.56
  6. Step 6: Final answer
    x = 9,842.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.