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Finding the Third Proportional to 32,793 and 70,263

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Solution

The third proportional to 32,793 and 70,263 is: 150,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,793 : 70,263 = 70,263 : x
  2. Step 2: Convert to fraction form
    32,793/70,263 = 70,263/x
  3. Step 3: Cross multiply
    32,793x = 70,263 × 70,263
  4. Step 4: Simplify right side
    32,793x = 4,936,889,169
  5. Step 5: Solve for x
    x = 4,936,889,169/32,793
  6. Step 6: Final answer
    x = 150,547.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.