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Finding the Third Proportional to 9,570 and 13,359

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Solution

The third proportional to 9,570 and 13,359 is: 18,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 13,359 = 13,359 : x
  2. Step 2: Convert to fraction form
    9,570/13,359 = 13,359/x
  3. Step 3: Cross multiply
    9,570x = 13,359 × 13,359
  4. Step 4: Simplify right side
    9,570x = 178,462,881
  5. Step 5: Solve for x
    x = 178,462,881/9,570
  6. Step 6: Final answer
    x = 18,648.16

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.