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Finding the Third Proportional to 46,570.50 and 73,774.69

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Solution

The third proportional to 46,570.50 and 73,774.69 is: 116,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,570.50 : 73,774.69 = 73,774.69 : x
  2. Step 2: Convert to fraction form
    46,570.50/73,774.69 = 73,774.69/x
  3. Step 3: Cross multiply
    46,570.50x = 73,774.69 × 73,774.69
  4. Step 4: Simplify right side
    46,570.50x = 5,442,704,515.72
  5. Step 5: Solve for x
    x = 5,442,704,515.72/46,570.50
  6. Step 6: Final answer
    x = 116,870.22

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.