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Finding the Third Proportional to 6,085.13 and 13,492.41

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Solution

The third proportional to 6,085.13 and 13,492.41 is: 29,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.13 : 13,492.41 = 13,492.41 : x
  2. Step 2: Convert to fraction form
    6,085.13/13,492.41 = 13,492.41/x
  3. Step 3: Cross multiply
    6,085.13x = 13,492.41 × 13,492.41
  4. Step 4: Simplify right side
    6,085.13x = 182,045,026.42
  5. Step 5: Solve for x
    x = 182,045,026.42/6,085.13
  6. Step 6: Final answer
    x = 29,916.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.