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Finding the Third Proportional to 25,897 and 56,533

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Solution

The third proportional to 25,897 and 56,533 is: 123,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897 : 56,533 = 56,533 : x
  2. Step 2: Convert to fraction form
    25,897/56,533 = 56,533/x
  3. Step 3: Cross multiply
    25,897x = 56,533 × 56,533
  4. Step 4: Simplify right side
    25,897x = 3,195,980,089
  5. Step 5: Solve for x
    x = 3,195,980,089/25,897
  6. Step 6: Final answer
    x = 123,411.21

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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.