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Finding the Third Proportional to 23,080 and 36,157

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Solution

The third proportional to 23,080 and 36,157 is: 56,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080 : 36,157 = 36,157 : x
  2. Step 2: Convert to fraction form
    23,080/36,157 = 36,157/x
  3. Step 3: Cross multiply
    23,080x = 36,157 × 36,157
  4. Step 4: Simplify right side
    23,080x = 1,307,328,649
  5. Step 5: Solve for x
    x = 1,307,328,649/23,080
  6. Step 6: Final answer
    x = 56,643.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.