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Finding the Third Proportional to 9,192.23 and 19,842.47

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Solution

The third proportional to 9,192.23 and 19,842.47 is: 42,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.23 : 19,842.47 = 19,842.47 : x
  2. Step 2: Convert to fraction form
    9,192.23/19,842.47 = 19,842.47/x
  3. Step 3: Cross multiply
    9,192.23x = 19,842.47 × 19,842.47
  4. Step 4: Simplify right side
    9,192.23x = 393,723,566.09
  5. Step 5: Solve for x
    x = 393,723,566.09/9,192.23
  6. Step 6: Final answer
    x = 42,832.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.