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Finding the Third Proportional to 28,582 and 62,697

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Solution

The third proportional to 28,582 and 62,697 is: 137,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,582 : 62,697 = 62,697 : x
  2. Step 2: Convert to fraction form
    28,582/62,697 = 62,697/x
  3. Step 3: Cross multiply
    28,582x = 62,697 × 62,697
  4. Step 4: Simplify right side
    28,582x = 3,930,913,809
  5. Step 5: Solve for x
    x = 3,930,913,809/28,582
  6. Step 6: Final answer
    x = 137,531.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.