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Finding the Third Proportional to 30,416 and 65,360

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Solution

The third proportional to 30,416 and 65,360 is: 140,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416 : 65,360 = 65,360 : x
  2. Step 2: Convert to fraction form
    30,416/65,360 = 65,360/x
  3. Step 3: Cross multiply
    30,416x = 65,360 × 65,360
  4. Step 4: Simplify right side
    30,416x = 4,271,929,600
  5. Step 5: Solve for x
    x = 4,271,929,600/30,416
  6. Step 6: Final answer
    x = 140,450.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.