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Finding the Third Proportional to 6,404.63 and 7,012.13

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Solution

The third proportional to 6,404.63 and 7,012.13 is: 7,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.63 : 7,012.13 = 7,012.13 : x
  2. Step 2: Convert to fraction form
    6,404.63/7,012.13 = 7,012.13/x
  3. Step 3: Cross multiply
    6,404.63x = 7,012.13 × 7,012.13
  4. Step 4: Simplify right side
    6,404.63x = 49,169,897.02
  5. Step 5: Solve for x
    x = 49,169,897.02/6,404.63
  6. Step 6: Final answer
    x = 7,677.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.