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Finding the Third Proportional to 46,731 and 74,392.50

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Solution

The third proportional to 46,731 and 74,392.50 is: 118,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,731 : 74,392.50 = 74,392.50 : x
  2. Step 2: Convert to fraction form
    46,731/74,392.50 = 74,392.50/x
  3. Step 3: Cross multiply
    46,731x = 74,392.50 × 74,392.50
  4. Step 4: Simplify right side
    46,731x = 5,534,244,056.25
  5. Step 5: Solve for x
    x = 5,534,244,056.25/46,731
  6. Step 6: Final answer
    x = 118,427.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.