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Finding the Third Proportional to 4,547 and 9,322

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Solution

The third proportional to 4,547 and 9,322 is: 19,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547 : 9,322 = 9,322 : x
  2. Step 2: Convert to fraction form
    4,547/9,322 = 9,322/x
  3. Step 3: Cross multiply
    4,547x = 9,322 × 9,322
  4. Step 4: Simplify right side
    4,547x = 86,899,684
  5. Step 5: Solve for x
    x = 86,899,684/4,547
  6. Step 6: Final answer
    x = 19,111.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.