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Finding the Third Proportional to 35,097 and 45,536.25

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Solution

The third proportional to 35,097 and 45,536.25 is: 59,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,097 : 45,536.25 = 45,536.25 : x
  2. Step 2: Convert to fraction form
    35,097/45,536.25 = 45,536.25/x
  3. Step 3: Cross multiply
    35,097x = 45,536.25 × 45,536.25
  4. Step 4: Simplify right side
    35,097x = 2,073,550,064.06
  5. Step 5: Solve for x
    x = 2,073,550,064.06/35,097
  6. Step 6: Final answer
    x = 59,080.55

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.