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Finding the Third Proportional to 19,680 and 46,416

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Solution

The third proportional to 19,680 and 46,416 is: 109,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 46,416 = 46,416 : x
  2. Step 2: Convert to fraction form
    19,680/46,416 = 46,416/x
  3. Step 3: Cross multiply
    19,680x = 46,416 × 46,416
  4. Step 4: Simplify right side
    19,680x = 2,154,445,056
  5. Step 5: Solve for x
    x = 2,154,445,056/19,680
  6. Step 6: Final answer
    x = 109,473.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.