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Finding the Third Proportional to 28,416 and 61,920

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Solution

The third proportional to 28,416 and 61,920 is: 134,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,416 : 61,920 = 61,920 : x
  2. Step 2: Convert to fraction form
    28,416/61,920 = 61,920/x
  3. Step 3: Cross multiply
    28,416x = 61,920 × 61,920
  4. Step 4: Simplify right side
    28,416x = 3,834,086,400
  5. Step 5: Solve for x
    x = 3,834,086,400/28,416
  6. Step 6: Final answer
    x = 134,927.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.