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Finding the Third Proportional to 26,705 and 61,820.50

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Solution

The third proportional to 26,705 and 61,820.50 is: 143,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705 : 61,820.50 = 61,820.50 : x
  2. Step 2: Convert to fraction form
    26,705/61,820.50 = 61,820.50/x
  3. Step 3: Cross multiply
    26,705x = 61,820.50 × 61,820.50
  4. Step 4: Simplify right side
    26,705x = 3,821,774,220.25
  5. Step 5: Solve for x
    x = 3,821,774,220.25/26,705
  6. Step 6: Final answer
    x = 143,110.81

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.