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Finding the Third Proportional to 46,704.75 and 74,352.50

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Solution

The third proportional to 46,704.75 and 74,352.50 is: 118,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704.75 : 74,352.50 = 74,352.50 : x
  2. Step 2: Convert to fraction form
    46,704.75/74,352.50 = 74,352.50/x
  3. Step 3: Cross multiply
    46,704.75x = 74,352.50 × 74,352.50
  4. Step 4: Simplify right side
    46,704.75x = 5,528,294,256.25
  5. Step 5: Solve for x
    x = 5,528,294,256.25/46,704.75
  6. Step 6: Final answer
    x = 118,366.85

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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.