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Finding the Third Proportional to 28,784 and 62,370

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Solution

The third proportional to 28,784 and 62,370 is: 135,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,784 : 62,370 = 62,370 : x
  2. Step 2: Convert to fraction form
    28,784/62,370 = 62,370/x
  3. Step 3: Cross multiply
    28,784x = 62,370 × 62,370
  4. Step 4: Simplify right side
    28,784x = 3,890,016,900
  5. Step 5: Solve for x
    x = 3,890,016,900/28,784
  6. Step 6: Final answer
    x = 135,145.11

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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.