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Finding the Third Proportional to 10,360.41 and 16,430.34

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Solution

The third proportional to 10,360.41 and 16,430.34 is: 26,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.41 : 16,430.34 = 16,430.34 : x
  2. Step 2: Convert to fraction form
    10,360.41/16,430.34 = 16,430.34/x
  3. Step 3: Cross multiply
    10,360.41x = 16,430.34 × 16,430.34
  4. Step 4: Simplify right side
    10,360.41x = 269,956,195.74
  5. Step 5: Solve for x
    x = 269,956,195.74/10,360.41
  6. Step 6: Final answer
    x = 26,056.53

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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.