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Finding the Third Proportional to 32,875 and 53,676

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Solution

The third proportional to 32,875 and 53,676 is: 87,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875 : 53,676 = 53,676 : x
  2. Step 2: Convert to fraction form
    32,875/53,676 = 53,676/x
  3. Step 3: Cross multiply
    32,875x = 53,676 × 53,676
  4. Step 4: Simplify right side
    32,875x = 2,881,112,976
  5. Step 5: Solve for x
    x = 2,881,112,976/32,875
  6. Step 6: Final answer
    x = 87,638.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.