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Finding the Third Proportional to 7,064.44 and 10,343.53

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Solution

The third proportional to 7,064.44 and 10,343.53 is: 15,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.44 : 10,343.53 = 10,343.53 : x
  2. Step 2: Convert to fraction form
    7,064.44/10,343.53 = 10,343.53/x
  3. Step 3: Cross multiply
    7,064.44x = 10,343.53 × 10,343.53
  4. Step 4: Simplify right side
    7,064.44x = 106,988,638.72
  5. Step 5: Solve for x
    x = 106,988,638.72/7,064.44
  6. Step 6: Final answer
    x = 15,144.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.