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Finding the Third Proportional to 13,070 and 26,835

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Solution

The third proportional to 13,070 and 26,835 is: 55,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 26,835 = 26,835 : x
  2. Step 2: Convert to fraction form
    13,070/26,835 = 26,835/x
  3. Step 3: Cross multiply
    13,070x = 26,835 × 26,835
  4. Step 4: Simplify right side
    13,070x = 720,117,225
  5. Step 5: Solve for x
    x = 720,117,225/13,070
  6. Step 6: Final answer
    x = 55,096.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.