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Finding the Third Proportional to 1,537 and 3,475

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Solution

The third proportional to 1,537 and 3,475 is: 7,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537 : 3,475 = 3,475 : x
  2. Step 2: Convert to fraction form
    1,537/3,475 = 3,475/x
  3. Step 3: Cross multiply
    1,537x = 3,475 × 3,475
  4. Step 4: Simplify right side
    1,537x = 12,075,625
  5. Step 5: Solve for x
    x = 12,075,625/1,537
  6. Step 6: Final answer
    x = 7,856.62

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.