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Finding the Third Proportional to 3,501.56 and 4,109.06

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Solution

The third proportional to 3,501.56 and 4,109.06 is: 4,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.56 : 4,109.06 = 4,109.06 : x
  2. Step 2: Convert to fraction form
    3,501.56/4,109.06 = 4,109.06/x
  3. Step 3: Cross multiply
    3,501.56x = 4,109.06 × 4,109.06
  4. Step 4: Simplify right side
    3,501.56x = 16,884,394.63
  5. Step 5: Solve for x
    x = 16,884,394.63/3,501.56
  6. Step 6: Final answer
    x = 4,821.96

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.