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Finding the Third Proportional to 46,420 and 70,718

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Solution

The third proportional to 46,420 and 70,718 is: 107,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,420 : 70,718 = 70,718 : x
  2. Step 2: Convert to fraction form
    46,420/70,718 = 70,718/x
  3. Step 3: Cross multiply
    46,420x = 70,718 × 70,718
  4. Step 4: Simplify right side
    46,420x = 5,001,035,524
  5. Step 5: Solve for x
    x = 5,001,035,524/46,420
  6. Step 6: Final answer
    x = 107,734.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.