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Finding the Third Proportional to 8,861.91 and 19,364.06

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Solution

The third proportional to 8,861.91 and 19,364.06 is: 42,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.91 : 19,364.06 = 19,364.06 : x
  2. Step 2: Convert to fraction form
    8,861.91/19,364.06 = 19,364.06/x
  3. Step 3: Cross multiply
    8,861.91x = 19,364.06 × 19,364.06
  4. Step 4: Simplify right side
    8,861.91x = 374,966,916.50
  5. Step 5: Solve for x
    x = 374,966,916.50/8,861.91
  6. Step 6: Final answer
    x = 42,312.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.