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Finding the Third Proportional to 21,332 and 49,592

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Solution

The third proportional to 21,332 and 49,592 is: 115,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332 : 49,592 = 49,592 : x
  2. Step 2: Convert to fraction form
    21,332/49,592 = 49,592/x
  3. Step 3: Cross multiply
    21,332x = 49,592 × 49,592
  4. Step 4: Simplify right side
    21,332x = 2,459,366,464
  5. Step 5: Solve for x
    x = 2,459,366,464/21,332
  6. Step 6: Final answer
    x = 115,290.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.