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Finding the Third Proportional to 13,265 and 28,897

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Solution

The third proportional to 13,265 and 28,897 is: 62,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265 : 28,897 = 28,897 : x
  2. Step 2: Convert to fraction form
    13,265/28,897 = 28,897/x
  3. Step 3: Cross multiply
    13,265x = 28,897 × 28,897
  4. Step 4: Simplify right side
    13,265x = 835,036,609
  5. Step 5: Solve for x
    x = 835,036,609/13,265
  6. Step 6: Final answer
    x = 62,950.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.