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Finding the Third Proportional to 21,384 and 46,457

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Solution

The third proportional to 21,384 and 46,457 is: 100,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 46,457 = 46,457 : x
  2. Step 2: Convert to fraction form
    21,384/46,457 = 46,457/x
  3. Step 3: Cross multiply
    21,384x = 46,457 × 46,457
  4. Step 4: Simplify right side
    21,384x = 2,158,252,849
  5. Step 5: Solve for x
    x = 2,158,252,849/21,384
  6. Step 6: Final answer
    x = 100,928.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.