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Finding the Third Proportional to 10,919.63 and 16,483.13

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Solution

The third proportional to 10,919.63 and 16,483.13 is: 24,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.63 : 16,483.13 = 16,483.13 : x
  2. Step 2: Convert to fraction form
    10,919.63/16,483.13 = 16,483.13/x
  3. Step 3: Cross multiply
    10,919.63x = 16,483.13 × 16,483.13
  4. Step 4: Simplify right side
    10,919.63x = 271,693,409.77
  5. Step 5: Solve for x
    x = 271,693,409.77/10,919.63
  6. Step 6: Final answer
    x = 24,881.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.