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Finding the Third Proportional to 5,873.13 and 8,053.63

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Solution

The third proportional to 5,873.13 and 8,053.63 is: 11,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.13 : 8,053.63 = 8,053.63 : x
  2. Step 2: Convert to fraction form
    5,873.13/8,053.63 = 8,053.63/x
  3. Step 3: Cross multiply
    5,873.13x = 8,053.63 × 8,053.63
  4. Step 4: Simplify right side
    5,873.13x = 64,860,875.64
  5. Step 5: Solve for x
    x = 64,860,875.64/5,873.13
  6. Step 6: Final answer
    x = 11,043.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.