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Finding the Third Proportional to 9,792 and 13,220

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Solution

The third proportional to 9,792 and 13,220 is: 17,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792 : 13,220 = 13,220 : x
  2. Step 2: Convert to fraction form
    9,792/13,220 = 13,220/x
  3. Step 3: Cross multiply
    9,792x = 13,220 × 13,220
  4. Step 4: Simplify right side
    9,792x = 174,768,400
  5. Step 5: Solve for x
    x = 174,768,400/9,792
  6. Step 6: Final answer
    x = 17,848.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.