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Finding the Third Proportional to 4,490 and 9,716

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Solution

The third proportional to 4,490 and 9,716 is: 21,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490 : 9,716 = 9,716 : x
  2. Step 2: Convert to fraction form
    4,490/9,716 = 9,716/x
  3. Step 3: Cross multiply
    4,490x = 9,716 × 9,716
  4. Step 4: Simplify right side
    4,490x = 94,400,656
  5. Step 5: Solve for x
    x = 94,400,656/4,490
  6. Step 6: Final answer
    x = 21,024.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.