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Finding the Third Proportional to 46,075 and 67,641

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Solution

The third proportional to 46,075 and 67,641 is: 99,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,075 : 67,641 = 67,641 : x
  2. Step 2: Convert to fraction form
    46,075/67,641 = 67,641/x
  3. Step 3: Cross multiply
    46,075x = 67,641 × 67,641
  4. Step 4: Simplify right side
    46,075x = 4,575,304,881
  5. Step 5: Solve for x
    x = 4,575,304,881/46,075
  6. Step 6: Final answer
    x = 99,301.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.