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Finding the Third Proportional to 9,680 and 14,944

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Solution

The third proportional to 9,680 and 14,944 is: 23,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680 : 14,944 = 14,944 : x
  2. Step 2: Convert to fraction form
    9,680/14,944 = 14,944/x
  3. Step 3: Cross multiply
    9,680x = 14,944 × 14,944
  4. Step 4: Simplify right side
    9,680x = 223,323,136
  5. Step 5: Solve for x
    x = 223,323,136/9,680
  6. Step 6: Final answer
    x = 23,070.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.