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Finding the Third Proportional to 29,985 and 45,054

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Solution

The third proportional to 29,985 and 45,054 is: 67,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985 : 45,054 = 45,054 : x
  2. Step 2: Convert to fraction form
    29,985/45,054 = 45,054/x
  3. Step 3: Cross multiply
    29,985x = 45,054 × 45,054
  4. Step 4: Simplify right side
    29,985x = 2,029,862,916
  5. Step 5: Solve for x
    x = 2,029,862,916/29,985
  6. Step 6: Final answer
    x = 67,695.95

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Why These Related Problems?

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