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Finding the Third Proportional to 32,043 and 74,865

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Solution

The third proportional to 32,043 and 74,865 is: 174,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043 : 74,865 = 74,865 : x
  2. Step 2: Convert to fraction form
    32,043/74,865 = 74,865/x
  3. Step 3: Cross multiply
    32,043x = 74,865 × 74,865
  4. Step 4: Simplify right side
    32,043x = 5,604,768,225
  5. Step 5: Solve for x
    x = 5,604,768,225/32,043
  6. Step 6: Final answer
    x = 174,913.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.