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Finding the Third Proportional to 45,968.77 and 70,290.28

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Solution

The third proportional to 45,968.77 and 70,290.28 is: 107,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,968.77 : 70,290.28 = 70,290.28 : x
  2. Step 2: Convert to fraction form
    45,968.77/70,290.28 = 70,290.28/x
  3. Step 3: Cross multiply
    45,968.77x = 70,290.28 × 70,290.28
  4. Step 4: Simplify right side
    45,968.77x = 4,940,723,638.20
  5. Step 5: Solve for x
    x = 4,940,723,638.20/45,968.77
  6. Step 6: Final answer
    x = 107,480.02

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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.