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Finding the Third Proportional to 7,040 and 12,416

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Solution

The third proportional to 7,040 and 12,416 is: 21,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040 : 12,416 = 12,416 : x
  2. Step 2: Convert to fraction form
    7,040/12,416 = 12,416/x
  3. Step 3: Cross multiply
    7,040x = 12,416 × 12,416
  4. Step 4: Simplify right side
    7,040x = 154,157,056
  5. Step 5: Solve for x
    x = 154,157,056/7,040
  6. Step 6: Final answer
    x = 21,897.31

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.