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Finding the Third Proportional to 29,985 and 43,825.50

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Solution

The third proportional to 29,985 and 43,825.50 is: 64,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985 : 43,825.50 = 43,825.50 : x
  2. Step 2: Convert to fraction form
    29,985/43,825.50 = 43,825.50/x
  3. Step 3: Cross multiply
    29,985x = 43,825.50 × 43,825.50
  4. Step 4: Simplify right side
    29,985x = 1,920,674,450.25
  5. Step 5: Solve for x
    x = 1,920,674,450.25/29,985
  6. Step 6: Final answer
    x = 64,054.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.