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Finding the Third Proportional to 46,592 and 62,075.50

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Solution

The third proportional to 46,592 and 62,075.50 is: 82,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,592 : 62,075.50 = 62,075.50 : x
  2. Step 2: Convert to fraction form
    46,592/62,075.50 = 62,075.50/x
  3. Step 3: Cross multiply
    46,592x = 62,075.50 × 62,075.50
  4. Step 4: Simplify right side
    46,592x = 3,853,367,700.25
  5. Step 5: Solve for x
    x = 3,853,367,700.25/46,592
  6. Step 6: Final answer
    x = 82,704.49

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.