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Finding the Third Proportional to 35,273.81 and 76,298.63

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Solution

The third proportional to 35,273.81 and 76,298.63 is: 165,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,273.81 : 76,298.63 = 76,298.63 : x
  2. Step 2: Convert to fraction form
    35,273.81/76,298.63 = 76,298.63/x
  3. Step 3: Cross multiply
    35,273.81x = 76,298.63 × 76,298.63
  4. Step 4: Simplify right side
    35,273.81x = 5,821,480,176.89
  5. Step 5: Solve for x
    x = 5,821,480,176.89/35,273.81
  6. Step 6: Final answer
    x = 165,036.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.