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Finding the Third Proportional to 10,438.50 and 16,023

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Solution

The third proportional to 10,438.50 and 16,023 is: 24,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.50 : 16,023 = 16,023 : x
  2. Step 2: Convert to fraction form
    10,438.50/16,023 = 16,023/x
  3. Step 3: Cross multiply
    10,438.50x = 16,023 × 16,023
  4. Step 4: Simplify right side
    10,438.50x = 256,736,529
  5. Step 5: Solve for x
    x = 256,736,529/10,438.50
  6. Step 6: Final answer
    x = 24,595.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.