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Finding the Third Proportional to 32,420 and 70,373

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Solution

The third proportional to 32,420 and 70,373 is: 152,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420 : 70,373 = 70,373 : x
  2. Step 2: Convert to fraction form
    32,420/70,373 = 70,373/x
  3. Step 3: Cross multiply
    32,420x = 70,373 × 70,373
  4. Step 4: Simplify right side
    32,420x = 4,952,359,129
  5. Step 5: Solve for x
    x = 4,952,359,129/32,420
  6. Step 6: Final answer
    x = 152,756.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.