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Finding the Third Proportional to 26,995 and 59,303

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Solution

The third proportional to 26,995 and 59,303 is: 130,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,995 : 59,303 = 59,303 : x
  2. Step 2: Convert to fraction form
    26,995/59,303 = 59,303/x
  3. Step 3: Cross multiply
    26,995x = 59,303 × 59,303
  4. Step 4: Simplify right side
    26,995x = 3,516,845,809
  5. Step 5: Solve for x
    x = 3,516,845,809/26,995
  6. Step 6: Final answer
    x = 130,277.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.