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Finding the Third Proportional to 14,133 and 33,430.50

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Solution

The third proportional to 14,133 and 33,430.50 is: 79,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133 : 33,430.50 = 33,430.50 : x
  2. Step 2: Convert to fraction form
    14,133/33,430.50 = 33,430.50/x
  3. Step 3: Cross multiply
    14,133x = 33,430.50 × 33,430.50
  4. Step 4: Simplify right side
    14,133x = 1,117,598,330.25
  5. Step 5: Solve for x
    x = 1,117,598,330.25/14,133
  6. Step 6: Final answer
    x = 79,077.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.