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Finding the Third Proportional to 4,416 and 9,709

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Solution

The third proportional to 4,416 and 9,709 is: 21,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416 : 9,709 = 9,709 : x
  2. Step 2: Convert to fraction form
    4,416/9,709 = 9,709/x
  3. Step 3: Cross multiply
    4,416x = 9,709 × 9,709
  4. Step 4: Simplify right side
    4,416x = 94,264,681
  5. Step 5: Solve for x
    x = 94,264,681/4,416
  6. Step 6: Final answer
    x = 21,346.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.