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Finding the Third Proportional to 46,647.56 and 70,308

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Solution

The third proportional to 46,647.56 and 70,308 is: 105,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647.56 : 70,308 = 70,308 : x
  2. Step 2: Convert to fraction form
    46,647.56/70,308 = 70,308/x
  3. Step 3: Cross multiply
    46,647.56x = 70,308 × 70,308
  4. Step 4: Simplify right side
    46,647.56x = 4,943,214,864
  5. Step 5: Solve for x
    x = 4,943,214,864/46,647.56
  6. Step 6: Final answer
    x = 105,969.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.