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Finding the Third Proportional to 32,278 and 47,356

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Solution

The third proportional to 32,278 and 47,356 is: 69,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278 : 47,356 = 47,356 : x
  2. Step 2: Convert to fraction form
    32,278/47,356 = 47,356/x
  3. Step 3: Cross multiply
    32,278x = 47,356 × 47,356
  4. Step 4: Simplify right side
    32,278x = 2,242,590,736
  5. Step 5: Solve for x
    x = 2,242,590,736/32,278
  6. Step 6: Final answer
    x = 69,477.38

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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.