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Finding the Third Proportional to 7,070 and 10,195

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Solution

The third proportional to 7,070 and 10,195 is: 14,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070 : 10,195 = 10,195 : x
  2. Step 2: Convert to fraction form
    7,070/10,195 = 10,195/x
  3. Step 3: Cross multiply
    7,070x = 10,195 × 10,195
  4. Step 4: Simplify right side
    7,070x = 103,938,025
  5. Step 5: Solve for x
    x = 103,938,025/7,070
  6. Step 6: Final answer
    x = 14,701.28

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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.