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Finding the Third Proportional to 10,720 and 19,688

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Solution

The third proportional to 10,720 and 19,688 is: 36,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720 : 19,688 = 19,688 : x
  2. Step 2: Convert to fraction form
    10,720/19,688 = 19,688/x
  3. Step 3: Cross multiply
    10,720x = 19,688 × 19,688
  4. Step 4: Simplify right side
    10,720x = 387,617,344
  5. Step 5: Solve for x
    x = 387,617,344/10,720
  6. Step 6: Final answer
    x = 36,158.33

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.