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Finding the Third Proportional to 9,946 and 17,570

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Solution

The third proportional to 9,946 and 17,570 is: 31,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946 : 17,570 = 17,570 : x
  2. Step 2: Convert to fraction form
    9,946/17,570 = 17,570/x
  3. Step 3: Cross multiply
    9,946x = 17,570 × 17,570
  4. Step 4: Simplify right side
    9,946x = 308,704,900
  5. Step 5: Solve for x
    x = 308,704,900/9,946
  6. Step 6: Final answer
    x = 31,038.10

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.