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Finding the Third Proportional to 9,296 and 14,570

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Solution

The third proportional to 9,296 and 14,570 is: 22,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 14,570 = 14,570 : x
  2. Step 2: Convert to fraction form
    9,296/14,570 = 14,570/x
  3. Step 3: Cross multiply
    9,296x = 14,570 × 14,570
  4. Step 4: Simplify right side
    9,296x = 212,284,900
  5. Step 5: Solve for x
    x = 212,284,900/9,296
  6. Step 6: Final answer
    x = 22,836.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.