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Finding the Third Proportional to 32,106 and 46,374

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Solution

The third proportional to 32,106 and 46,374 is: 66,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106 : 46,374 = 46,374 : x
  2. Step 2: Convert to fraction form
    32,106/46,374 = 46,374/x
  3. Step 3: Cross multiply
    32,106x = 46,374 × 46,374
  4. Step 4: Simplify right side
    32,106x = 2,150,547,876
  5. Step 5: Solve for x
    x = 2,150,547,876/32,106
  6. Step 6: Final answer
    x = 66,982.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.