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Finding the Third Proportional to 46,584 and 70,848

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Solution

The third proportional to 46,584 and 70,848 is: 107,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584 : 70,848 = 70,848 : x
  2. Step 2: Convert to fraction form
    46,584/70,848 = 70,848/x
  3. Step 3: Cross multiply
    46,584x = 70,848 × 70,848
  4. Step 4: Simplify right side
    46,584x = 5,019,439,104
  5. Step 5: Solve for x
    x = 5,019,439,104/46,584
  6. Step 6: Final answer
    x = 107,750.28

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