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Finding the Third Proportional to 10,130 and 11,210

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Solution

The third proportional to 10,130 and 11,210 is: 12,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130 : 11,210 = 11,210 : x
  2. Step 2: Convert to fraction form
    10,130/11,210 = 11,210/x
  3. Step 3: Cross multiply
    10,130x = 11,210 × 11,210
  4. Step 4: Simplify right side
    10,130x = 125,664,100
  5. Step 5: Solve for x
    x = 125,664,100/10,130
  6. Step 6: Final answer
    x = 12,405.14

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.