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Finding the Third Proportional to 6,461 and 14,136.50

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Solution

The third proportional to 6,461 and 14,136.50 is: 30,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461 : 14,136.50 = 14,136.50 : x
  2. Step 2: Convert to fraction form
    6,461/14,136.50 = 14,136.50/x
  3. Step 3: Cross multiply
    6,461x = 14,136.50 × 14,136.50
  4. Step 4: Simplify right side
    6,461x = 199,840,632.25
  5. Step 5: Solve for x
    x = 199,840,632.25/6,461
  6. Step 6: Final answer
    x = 30,930.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.