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Finding the Third Proportional to 7,143 and 10,289

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Solution

The third proportional to 7,143 and 10,289 is: 14,820.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143 : 10,289 = 10,289 : x
  2. Step 2: Convert to fraction form
    7,143/10,289 = 10,289/x
  3. Step 3: Cross multiply
    7,143x = 10,289 × 10,289
  4. Step 4: Simplify right side
    7,143x = 105,863,521
  5. Step 5: Solve for x
    x = 105,863,521/7,143
  6. Step 6: Final answer
    x = 14,820.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.