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Finding the Third Proportional to 21,392 and 46,513

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Solution

The third proportional to 21,392 and 46,513 is: 101,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392 : 46,513 = 46,513 : x
  2. Step 2: Convert to fraction form
    21,392/46,513 = 46,513/x
  3. Step 3: Cross multiply
    21,392x = 46,513 × 46,513
  4. Step 4: Simplify right side
    21,392x = 2,163,459,169
  5. Step 5: Solve for x
    x = 2,163,459,169/21,392
  6. Step 6: Final answer
    x = 101,134.03

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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.