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Finding the Third Proportional to 28,354 and 62,342

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Solution

The third proportional to 28,354 and 62,342 is: 137,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,354 : 62,342 = 62,342 : x
  2. Step 2: Convert to fraction form
    28,354/62,342 = 62,342/x
  3. Step 3: Cross multiply
    28,354x = 62,342 × 62,342
  4. Step 4: Simplify right side
    28,354x = 3,886,524,964
  5. Step 5: Solve for x
    x = 3,886,524,964/28,354
  6. Step 6: Final answer
    x = 137,071.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.