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Finding the Third Proportional to 795.13 and 1,073.63

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Solution

The third proportional to 795.13 and 1,073.63 is: 1,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.13 : 1,073.63 = 1,073.63 : x
  2. Step 2: Convert to fraction form
    795.13/1,073.63 = 1,073.63/x
  3. Step 3: Cross multiply
    795.13x = 1,073.63 × 1,073.63
  4. Step 4: Simplify right side
    795.13x = 1,152,670.64
  5. Step 5: Solve for x
    x = 1,152,670.64/795.13
  6. Step 6: Final answer
    x = 1,449.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.