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Finding the Third Proportional to 21,584 and 52,502

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Solution

The third proportional to 21,584 and 52,502 is: 127,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584 : 52,502 = 52,502 : x
  2. Step 2: Convert to fraction form
    21,584/52,502 = 52,502/x
  3. Step 3: Cross multiply
    21,584x = 52,502 × 52,502
  4. Step 4: Simplify right side
    21,584x = 2,756,460,004
  5. Step 5: Solve for x
    x = 2,756,460,004/21,584
  6. Step 6: Final answer
    x = 127,708.49

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.