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Finding the Third Proportional to 9,642.50 and 20,053

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Solution

The third proportional to 9,642.50 and 20,053 is: 41,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.50 : 20,053 = 20,053 : x
  2. Step 2: Convert to fraction form
    9,642.50/20,053 = 20,053/x
  3. Step 3: Cross multiply
    9,642.50x = 20,053 × 20,053
  4. Step 4: Simplify right side
    9,642.50x = 402,122,809
  5. Step 5: Solve for x
    x = 402,122,809/9,642.50
  6. Step 6: Final answer
    x = 41,703.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.