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Finding the Third Proportional to 21,477 and 46,033

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Solution

The third proportional to 21,477 and 46,033 is: 98,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477 : 46,033 = 46,033 : x
  2. Step 2: Convert to fraction form
    21,477/46,033 = 46,033/x
  3. Step 3: Cross multiply
    21,477x = 46,033 × 46,033
  4. Step 4: Simplify right side
    21,477x = 2,119,037,089
  5. Step 5: Solve for x
    x = 2,119,037,089/21,477
  6. Step 6: Final answer
    x = 98,665.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.