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Finding the Third Proportional to 2,935.50 and 6,527.63

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Solution

The third proportional to 2,935.50 and 6,527.63 is: 14,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.50 : 6,527.63 = 6,527.63 : x
  2. Step 2: Convert to fraction form
    2,935.50/6,527.63 = 6,527.63/x
  3. Step 3: Cross multiply
    2,935.50x = 6,527.63 × 6,527.63
  4. Step 4: Simplify right side
    2,935.50x = 42,609,888.14
  5. Step 5: Solve for x
    x = 42,609,888.14/2,935.50
  6. Step 6: Final answer
    x = 14,515.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.