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Finding the Third Proportional to 5,300.44 and 12,377.81

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Solution

The third proportional to 5,300.44 and 12,377.81 is: 28,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.44 : 12,377.81 = 12,377.81 : x
  2. Step 2: Convert to fraction form
    5,300.44/12,377.81 = 12,377.81/x
  3. Step 3: Cross multiply
    5,300.44x = 12,377.81 × 12,377.81
  4. Step 4: Simplify right side
    5,300.44x = 153,210,242.29
  5. Step 5: Solve for x
    x = 153,210,242.29/5,300.44
  6. Step 6: Final answer
    x = 28,905.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.