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Finding the Third Proportional to 32,784 and 70,346

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Solution

The third proportional to 32,784 and 70,346 is: 150,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784 : 70,346 = 70,346 : x
  2. Step 2: Convert to fraction form
    32,784/70,346 = 70,346/x
  3. Step 3: Cross multiply
    32,784x = 70,346 × 70,346
  4. Step 4: Simplify right side
    32,784x = 4,948,559,716
  5. Step 5: Solve for x
    x = 4,948,559,716/32,784
  6. Step 6: Final answer
    x = 150,944.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.