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Finding the Third Proportional to 4,637 and 7,455

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Solution

The third proportional to 4,637 and 7,455 is: 11,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637 : 7,455 = 7,455 : x
  2. Step 2: Convert to fraction form
    4,637/7,455 = 7,455/x
  3. Step 3: Cross multiply
    4,637x = 7,455 × 7,455
  4. Step 4: Simplify right side
    4,637x = 55,577,025
  5. Step 5: Solve for x
    x = 55,577,025/4,637
  6. Step 6: Final answer
    x = 11,985.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.