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Finding the Third Proportional to 7,085 and 13,153

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Solution

The third proportional to 7,085 and 13,153 is: 24,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085 : 13,153 = 13,153 : x
  2. Step 2: Convert to fraction form
    7,085/13,153 = 13,153/x
  3. Step 3: Cross multiply
    7,085x = 13,153 × 13,153
  4. Step 4: Simplify right side
    7,085x = 173,001,409
  5. Step 5: Solve for x
    x = 173,001,409/7,085
  6. Step 6: Final answer
    x = 24,417.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.