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Finding the Third Proportional to 32,016 and 46,985

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Solution

The third proportional to 32,016 and 46,985 is: 68,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016 : 46,985 = 46,985 : x
  2. Step 2: Convert to fraction form
    32,016/46,985 = 46,985/x
  3. Step 3: Cross multiply
    32,016x = 46,985 × 46,985
  4. Step 4: Simplify right side
    32,016x = 2,207,590,225
  5. Step 5: Solve for x
    x = 2,207,590,225/32,016
  6. Step 6: Final answer
    x = 68,952.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.