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Finding the Third Proportional to 9,153 and 14,917.50

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Solution

The third proportional to 9,153 and 14,917.50 is: 24,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153 : 14,917.50 = 14,917.50 : x
  2. Step 2: Convert to fraction form
    9,153/14,917.50 = 14,917.50/x
  3. Step 3: Cross multiply
    9,153x = 14,917.50 × 14,917.50
  4. Step 4: Simplify right side
    9,153x = 222,531,806.25
  5. Step 5: Solve for x
    x = 222,531,806.25/9,153
  6. Step 6: Final answer
    x = 24,312.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.