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Finding the Third Proportional to 7,461 and 11,176.50

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Solution

The third proportional to 7,461 and 11,176.50 is: 16,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 11,176.50 = 11,176.50 : x
  2. Step 2: Convert to fraction form
    7,461/11,176.50 = 11,176.50/x
  3. Step 3: Cross multiply
    7,461x = 11,176.50 × 11,176.50
  4. Step 4: Simplify right side
    7,461x = 124,914,152.25
  5. Step 5: Solve for x
    x = 124,914,152.25/7,461
  6. Step 6: Final answer
    x = 16,742.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.