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Finding the Third Proportional to 5,440.50 and 7,637.63

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Solution

The third proportional to 5,440.50 and 7,637.63 is: 10,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.50 : 7,637.63 = 7,637.63 : x
  2. Step 2: Convert to fraction form
    5,440.50/7,637.63 = 7,637.63/x
  3. Step 3: Cross multiply
    5,440.50x = 7,637.63 × 7,637.63
  4. Step 4: Simplify right side
    5,440.50x = 58,333,315.64
  5. Step 5: Solve for x
    x = 58,333,315.64/5,440.50
  6. Step 6: Final answer
    x = 10,722.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.