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Finding the Third Proportional to 28,384 and 61,724

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Solution

The third proportional to 28,384 and 61,724 is: 134,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,384 : 61,724 = 61,724 : x
  2. Step 2: Convert to fraction form
    28,384/61,724 = 61,724/x
  3. Step 3: Cross multiply
    28,384x = 61,724 × 61,724
  4. Step 4: Simplify right side
    28,384x = 3,809,852,176
  5. Step 5: Solve for x
    x = 3,809,852,176/28,384
  6. Step 6: Final answer
    x = 134,225.34

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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.