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Finding the Third Proportional to 4,364 and 9,697

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Solution

The third proportional to 4,364 and 9,697 is: 21,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364 : 9,697 = 9,697 : x
  2. Step 2: Convert to fraction form
    4,364/9,697 = 9,697/x
  3. Step 3: Cross multiply
    4,364x = 9,697 × 9,697
  4. Step 4: Simplify right side
    4,364x = 94,031,809
  5. Step 5: Solve for x
    x = 94,031,809/4,364
  6. Step 6: Final answer
    x = 21,547.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.