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Finding the Third Proportional to 32,160 and 48,206

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Solution

The third proportional to 32,160 and 48,206 is: 72,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160 : 48,206 = 48,206 : x
  2. Step 2: Convert to fraction form
    32,160/48,206 = 48,206/x
  3. Step 3: Cross multiply
    32,160x = 48,206 × 48,206
  4. Step 4: Simplify right side
    32,160x = 2,323,818,436
  5. Step 5: Solve for x
    x = 2,323,818,436/32,160
  6. Step 6: Final answer
    x = 72,258.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.