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Finding the Third Proportional to 25,965 and 56,303

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Solution

The third proportional to 25,965 and 56,303 is: 122,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965 : 56,303 = 56,303 : x
  2. Step 2: Convert to fraction form
    25,965/56,303 = 56,303/x
  3. Step 3: Cross multiply
    25,965x = 56,303 × 56,303
  4. Step 4: Simplify right side
    25,965x = 3,170,027,809
  5. Step 5: Solve for x
    x = 3,170,027,809/25,965
  6. Step 6: Final answer
    x = 122,088.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.