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Finding the Third Proportional to 39,553 and 61,075

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Solution

The third proportional to 39,553 and 61,075 is: 94,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,553 : 61,075 = 61,075 : x
  2. Step 2: Convert to fraction form
    39,553/61,075 = 61,075/x
  3. Step 3: Cross multiply
    39,553x = 61,075 × 61,075
  4. Step 4: Simplify right side
    39,553x = 3,730,155,625
  5. Step 5: Solve for x
    x = 3,730,155,625/39,553
  6. Step 6: Final answer
    x = 94,307.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.