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Finding the Third Proportional to 30,136.50 and 63,513

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Solution

The third proportional to 30,136.50 and 63,513 is: 133,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.50 : 63,513 = 63,513 : x
  2. Step 2: Convert to fraction form
    30,136.50/63,513 = 63,513/x
  3. Step 3: Cross multiply
    30,136.50x = 63,513 × 63,513
  4. Step 4: Simplify right side
    30,136.50x = 4,033,901,169
  5. Step 5: Solve for x
    x = 4,033,901,169/30,136.50
  6. Step 6: Final answer
    x = 133,854.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.