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Finding the Third Proportional to 5,154 and 10,780

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Solution

The third proportional to 5,154 and 10,780 is: 22,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154 : 10,780 = 10,780 : x
  2. Step 2: Convert to fraction form
    5,154/10,780 = 10,780/x
  3. Step 3: Cross multiply
    5,154x = 10,780 × 10,780
  4. Step 4: Simplify right side
    5,154x = 116,208,400
  5. Step 5: Solve for x
    x = 116,208,400/5,154
  6. Step 6: Final answer
    x = 22,547.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.