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Finding the Third Proportional to 31,075 and 48,459

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Solution

The third proportional to 31,075 and 48,459 is: 75,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075 : 48,459 = 48,459 : x
  2. Step 2: Convert to fraction form
    31,075/48,459 = 48,459/x
  3. Step 3: Cross multiply
    31,075x = 48,459 × 48,459
  4. Step 4: Simplify right side
    31,075x = 2,348,274,681
  5. Step 5: Solve for x
    x = 2,348,274,681/31,075
  6. Step 6: Final answer
    x = 75,567.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.