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Finding the Third Proportional to 4,710.02 and 6,897.02

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Solution

The third proportional to 4,710.02 and 6,897.02 is: 10,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.02 : 6,897.02 = 6,897.02 : x
  2. Step 2: Convert to fraction form
    4,710.02/6,897.02 = 6,897.02/x
  3. Step 3: Cross multiply
    4,710.02x = 6,897.02 × 6,897.02
  4. Step 4: Simplify right side
    4,710.02x = 47,568,932.30
  5. Step 5: Solve for x
    x = 47,568,932.30/4,710.02
  6. Step 6: Final answer
    x = 10,099.51

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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.