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Finding the Third Proportional to 25,862 and 56,650

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Solution

The third proportional to 25,862 and 56,650 is: 124,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862 : 56,650 = 56,650 : x
  2. Step 2: Convert to fraction form
    25,862/56,650 = 56,650/x
  3. Step 3: Cross multiply
    25,862x = 56,650 × 56,650
  4. Step 4: Simplify right side
    25,862x = 3,209,222,500
  5. Step 5: Solve for x
    x = 3,209,222,500/25,862
  6. Step 6: Final answer
    x = 124,090.27

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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.