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Finding the Third Proportional to 9,205 and 19,712

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Solution

The third proportional to 9,205 and 19,712 is: 42,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205 : 19,712 = 19,712 : x
  2. Step 2: Convert to fraction form
    9,205/19,712 = 19,712/x
  3. Step 3: Cross multiply
    9,205x = 19,712 × 19,712
  4. Step 4: Simplify right side
    9,205x = 388,562,944
  5. Step 5: Solve for x
    x = 388,562,944/9,205
  6. Step 6: Final answer
    x = 42,212.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.