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Finding the Third Proportional to 5,629.50 and 11,653.88

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Solution

The third proportional to 5,629.50 and 11,653.88 is: 24,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.50 : 11,653.88 = 11,653.88 : x
  2. Step 2: Convert to fraction form
    5,629.50/11,653.88 = 11,653.88/x
  3. Step 3: Cross multiply
    5,629.50x = 11,653.88 × 11,653.88
  4. Step 4: Simplify right side
    5,629.50x = 135,812,802.52
  5. Step 5: Solve for x
    x = 135,812,802.52/5,629.50
  6. Step 6: Final answer
    x = 24,125.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.