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Finding the Third Proportional to 9,305 and 19,570

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Solution

The third proportional to 9,305 and 19,570 is: 41,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305 : 19,570 = 19,570 : x
  2. Step 2: Convert to fraction form
    9,305/19,570 = 19,570/x
  3. Step 3: Cross multiply
    9,305x = 19,570 × 19,570
  4. Step 4: Simplify right side
    9,305x = 382,984,900
  5. Step 5: Solve for x
    x = 382,984,900/9,305
  6. Step 6: Final answer
    x = 41,159.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.