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Finding the Third Proportional to 10,321.59 and 16,403.34

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Solution

The third proportional to 10,321.59 and 16,403.34 is: 26,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.59 : 16,403.34 = 16,403.34 : x
  2. Step 2: Convert to fraction form
    10,321.59/16,403.34 = 16,403.34/x
  3. Step 3: Cross multiply
    10,321.59x = 16,403.34 × 16,403.34
  4. Step 4: Simplify right side
    10,321.59x = 269,069,686.18
  5. Step 5: Solve for x
    x = 269,069,686.18/10,321.59
  6. Step 6: Final answer
    x = 26,068.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.