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Finding the Third Proportional to 28,316 and 62,348

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Solution

The third proportional to 28,316 and 62,348 is: 137,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,316 : 62,348 = 62,348 : x
  2. Step 2: Convert to fraction form
    28,316/62,348 = 62,348/x
  3. Step 3: Cross multiply
    28,316x = 62,348 × 62,348
  4. Step 4: Simplify right side
    28,316x = 3,887,273,104
  5. Step 5: Solve for x
    x = 3,887,273,104/28,316
  6. Step 6: Final answer
    x = 137,281.86

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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.