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Finding the Third Proportional to 32,293 and 70,813

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Solution

The third proportional to 32,293 and 70,813 is: 155,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,293 : 70,813 = 70,813 : x
  2. Step 2: Convert to fraction form
    32,293/70,813 = 70,813/x
  3. Step 3: Cross multiply
    32,293x = 70,813 × 70,813
  4. Step 4: Simplify right side
    32,293x = 5,014,480,969
  5. Step 5: Solve for x
    x = 5,014,480,969/32,293
  6. Step 6: Final answer
    x = 155,280.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.