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Finding the Third Proportional to 9,916.50 and 23,403

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Solution

The third proportional to 9,916.50 and 23,403 is: 55,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.50 : 23,403 = 23,403 : x
  2. Step 2: Convert to fraction form
    9,916.50/23,403 = 23,403/x
  3. Step 3: Cross multiply
    9,916.50x = 23,403 × 23,403
  4. Step 4: Simplify right side
    9,916.50x = 547,700,409
  5. Step 5: Solve for x
    x = 547,700,409/9,916.50
  6. Step 6: Final answer
    x = 55,231.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.