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Finding the Third Proportional to 9,625.08 and 21,146.70

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Solution

The third proportional to 9,625.08 and 21,146.70 is: 46,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.08 : 21,146.70 = 21,146.70 : x
  2. Step 2: Convert to fraction form
    9,625.08/21,146.70 = 21,146.70/x
  3. Step 3: Cross multiply
    9,625.08x = 21,146.70 × 21,146.70
  4. Step 4: Simplify right side
    9,625.08x = 447,182,722.64
  5. Step 5: Solve for x
    x = 447,182,722.64/9,625.08
  6. Step 6: Final answer
    x = 46,460.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.