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Finding the Third Proportional to 3,587.63 and 5,263.31

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Solution

The third proportional to 3,587.63 and 5,263.31 is: 7,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.63 : 5,263.31 = 5,263.31 : x
  2. Step 2: Convert to fraction form
    3,587.63/5,263.31 = 5,263.31/x
  3. Step 3: Cross multiply
    3,587.63x = 5,263.31 × 5,263.31
  4. Step 4: Simplify right side
    3,587.63x = 27,702,458.47
  5. Step 5: Solve for x
    x = 27,702,458.47/3,587.63
  6. Step 6: Final answer
    x = 7,721.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.