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Finding the Third Proportional to 46,998 and 70,480

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Solution

The third proportional to 46,998 and 70,480 is: 105,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,998 : 70,480 = 70,480 : x
  2. Step 2: Convert to fraction form
    46,998/70,480 = 70,480/x
  3. Step 3: Cross multiply
    46,998x = 70,480 × 70,480
  4. Step 4: Simplify right side
    46,998x = 4,967,430,400
  5. Step 5: Solve for x
    x = 4,967,430,400/46,998
  6. Step 6: Final answer
    x = 105,694.51

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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.