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Finding the Third Proportional to 46,718 and 70,009

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Solution

The third proportional to 46,718 and 70,009 is: 104,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,718 : 70,009 = 70,009 : x
  2. Step 2: Convert to fraction form
    46,718/70,009 = 70,009/x
  3. Step 3: Cross multiply
    46,718x = 70,009 × 70,009
  4. Step 4: Simplify right side
    46,718x = 4,901,260,081
  5. Step 5: Solve for x
    x = 4,901,260,081/46,718
  6. Step 6: Final answer
    x = 104,911.60

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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.