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Finding the Third Proportional to 24,455 and 35,987

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Solution

The third proportional to 24,455 and 35,987 is: 52,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455 : 35,987 = 35,987 : x
  2. Step 2: Convert to fraction form
    24,455/35,987 = 35,987/x
  3. Step 3: Cross multiply
    24,455x = 35,987 × 35,987
  4. Step 4: Simplify right side
    24,455x = 1,295,064,169
  5. Step 5: Solve for x
    x = 1,295,064,169/24,455
  6. Step 6: Final answer
    x = 52,957.03

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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.