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Finding the Third Proportional to 7,263.42 and 15,700.08

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Solution

The third proportional to 7,263.42 and 15,700.08 is: 33,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.42 : 15,700.08 = 15,700.08 : x
  2. Step 2: Convert to fraction form
    7,263.42/15,700.08 = 15,700.08/x
  3. Step 3: Cross multiply
    7,263.42x = 15,700.08 × 15,700.08
  4. Step 4: Simplify right side
    7,263.42x = 246,492,453.13
  5. Step 5: Solve for x
    x = 246,492,453.13/7,263.42
  6. Step 6: Final answer
    x = 33,936.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.