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Finding the Third Proportional to 32,385 and 70,773

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Solution

The third proportional to 32,385 and 70,773 is: 154,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,385 : 70,773 = 70,773 : x
  2. Step 2: Convert to fraction form
    32,385/70,773 = 70,773/x
  3. Step 3: Cross multiply
    32,385x = 70,773 × 70,773
  4. Step 4: Simplify right side
    32,385x = 5,008,817,529
  5. Step 5: Solve for x
    x = 5,008,817,529/32,385
  6. Step 6: Final answer
    x = 154,664.74

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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.