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Finding the Third Proportional to 38,416 and 56,154

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Solution

The third proportional to 38,416 and 56,154 is: 82,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416 : 56,154 = 56,154 : x
  2. Step 2: Convert to fraction form
    38,416/56,154 = 56,154/x
  3. Step 3: Cross multiply
    38,416x = 56,154 × 56,154
  4. Step 4: Simplify right side
    38,416x = 3,153,271,716
  5. Step 5: Solve for x
    x = 3,153,271,716/38,416
  6. Step 6: Final answer
    x = 82,082.25

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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.