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Finding the Third Proportional to 35,459.25 and 54,130.50

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Solution

The third proportional to 35,459.25 and 54,130.50 is: 82,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,459.25 : 54,130.50 = 54,130.50 : x
  2. Step 2: Convert to fraction form
    35,459.25/54,130.50 = 54,130.50/x
  3. Step 3: Cross multiply
    35,459.25x = 54,130.50 × 54,130.50
  4. Step 4: Simplify right side
    35,459.25x = 2,930,111,030.25
  5. Step 5: Solve for x
    x = 2,930,111,030.25/35,459.25
  6. Step 6: Final answer
    x = 82,633.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.