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Finding the Third Proportional to 28,782 and 62,897

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Solution

The third proportional to 28,782 and 62,897 is: 137,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,782 : 62,897 = 62,897 : x
  2. Step 2: Convert to fraction form
    28,782/62,897 = 62,897/x
  3. Step 3: Cross multiply
    28,782x = 62,897 × 62,897
  4. Step 4: Simplify right side
    28,782x = 3,956,032,609
  5. Step 5: Solve for x
    x = 3,956,032,609/28,782
  6. Step 6: Final answer
    x = 137,448.15

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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.