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Finding the Third Proportional to 3,526.58 and 5,164.63

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Solution

The third proportional to 3,526.58 and 5,164.63 is: 7,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.58 : 5,164.63 = 5,164.63 : x
  2. Step 2: Convert to fraction form
    3,526.58/5,164.63 = 5,164.63/x
  3. Step 3: Cross multiply
    3,526.58x = 5,164.63 × 5,164.63
  4. Step 4: Simplify right side
    3,526.58x = 26,673,352.02
  5. Step 5: Solve for x
    x = 26,673,352.02/3,526.58
  6. Step 6: Final answer
    x = 7,563.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.