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Finding the Third Proportional to 10,080 and 19,656

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Solution

The third proportional to 10,080 and 19,656 is: 38,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 19,656 = 19,656 : x
  2. Step 2: Convert to fraction form
    10,080/19,656 = 19,656/x
  3. Step 3: Cross multiply
    10,080x = 19,656 × 19,656
  4. Step 4: Simplify right side
    10,080x = 386,358,336
  5. Step 5: Solve for x
    x = 386,358,336/10,080
  6. Step 6: Final answer
    x = 38,329.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.