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Finding the Third Proportional to 30,501 and 66,469.50

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Solution

The third proportional to 30,501 and 66,469.50 is: 144,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501 : 66,469.50 = 66,469.50 : x
  2. Step 2: Convert to fraction form
    30,501/66,469.50 = 66,469.50/x
  3. Step 3: Cross multiply
    30,501x = 66,469.50 × 66,469.50
  4. Step 4: Simplify right side
    30,501x = 4,418,194,430.25
  5. Step 5: Solve for x
    x = 4,418,194,430.25/30,501
  6. Step 6: Final answer
    x = 144,854.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.