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Finding the Third Proportional to 30,001.50 and 64,683

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Solution

The third proportional to 30,001.50 and 64,683 is: 139,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,001.50 : 64,683 = 64,683 : x
  2. Step 2: Convert to fraction form
    30,001.50/64,683 = 64,683/x
  3. Step 3: Cross multiply
    30,001.50x = 64,683 × 64,683
  4. Step 4: Simplify right side
    30,001.50x = 4,183,890,489
  5. Step 5: Solve for x
    x = 4,183,890,489/30,001.50
  6. Step 6: Final answer
    x = 139,456.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.