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Finding the Third Proportional to 8,080 and 12,358

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Solution

The third proportional to 8,080 and 12,358 is: 18,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080 : 12,358 = 12,358 : x
  2. Step 2: Convert to fraction form
    8,080/12,358 = 12,358/x
  3. Step 3: Cross multiply
    8,080x = 12,358 × 12,358
  4. Step 4: Simplify right side
    8,080x = 152,720,164
  5. Step 5: Solve for x
    x = 152,720,164/8,080
  6. Step 6: Final answer
    x = 18,901.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.