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Finding the Third Proportional to 46,820 and 70,230

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Solution

The third proportional to 46,820 and 70,230 is: 105,345

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,820 : 70,230 = 70,230 : x
  2. Step 2: Convert to fraction form
    46,820/70,230 = 70,230/x
  3. Step 3: Cross multiply
    46,820x = 70,230 × 70,230
  4. Step 4: Simplify right side
    46,820x = 4,932,252,900
  5. Step 5: Solve for x
    x = 4,932,252,900/46,820
  6. Step 6: Final answer
    x = 105,345

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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.