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Finding the Third Proportional to 6,803.53 and 10,307.57

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Solution

The third proportional to 6,803.53 and 10,307.57 is: 15,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.53 : 10,307.57 = 10,307.57 : x
  2. Step 2: Convert to fraction form
    6,803.53/10,307.57 = 10,307.57/x
  3. Step 3: Cross multiply
    6,803.53x = 10,307.57 × 10,307.57
  4. Step 4: Simplify right side
    6,803.53x = 106,245,925.22
  5. Step 5: Solve for x
    x = 106,245,925.22/6,803.53
  6. Step 6: Final answer
    x = 15,616.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.