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Finding the Third Proportional to 32,840 and 48,095

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Solution

The third proportional to 32,840 and 48,095 is: 70,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840 : 48,095 = 48,095 : x
  2. Step 2: Convert to fraction form
    32,840/48,095 = 48,095/x
  3. Step 3: Cross multiply
    32,840x = 48,095 × 48,095
  4. Step 4: Simplify right side
    32,840x = 2,313,129,025
  5. Step 5: Solve for x
    x = 2,313,129,025/32,840
  6. Step 6: Final answer
    x = 70,436.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.