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Finding the Third Proportional to 30,035 and 45,053

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Solution

The third proportional to 30,035 and 45,053 is: 67,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035 : 45,053 = 45,053 : x
  2. Step 2: Convert to fraction form
    30,035/45,053 = 45,053/x
  3. Step 3: Cross multiply
    30,035x = 45,053 × 45,053
  4. Step 4: Simplify right side
    30,035x = 2,029,772,809
  5. Step 5: Solve for x
    x = 2,029,772,809/30,035
  6. Step 6: Final answer
    x = 67,580.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.