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Finding the Third Proportional to 9,790 and 14,688

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Solution

The third proportional to 9,790 and 14,688 is: 22,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790 : 14,688 = 14,688 : x
  2. Step 2: Convert to fraction form
    9,790/14,688 = 14,688/x
  3. Step 3: Cross multiply
    9,790x = 14,688 × 14,688
  4. Step 4: Simplify right side
    9,790x = 215,737,344
  5. Step 5: Solve for x
    x = 215,737,344/9,790
  6. Step 6: Final answer
    x = 22,036.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.