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Finding the Third Proportional to 32,232 and 46,946

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Solution

The third proportional to 32,232 and 46,946 is: 68,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232 : 46,946 = 46,946 : x
  2. Step 2: Convert to fraction form
    32,232/46,946 = 46,946/x
  3. Step 3: Cross multiply
    32,232x = 46,946 × 46,946
  4. Step 4: Simplify right side
    32,232x = 2,203,926,916
  5. Step 5: Solve for x
    x = 2,203,926,916/32,232
  6. Step 6: Final answer
    x = 68,376.98

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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.