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Finding the Third Proportional to 6,410.50 and 9,701.25

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Solution

The third proportional to 6,410.50 and 9,701.25 is: 14,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.50 : 9,701.25 = 9,701.25 : x
  2. Step 2: Convert to fraction form
    6,410.50/9,701.25 = 9,701.25/x
  3. Step 3: Cross multiply
    6,410.50x = 9,701.25 × 9,701.25
  4. Step 4: Simplify right side
    6,410.50x = 94,114,251.56
  5. Step 5: Solve for x
    x = 94,114,251.56/6,410.50
  6. Step 6: Final answer
    x = 14,681.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.