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Finding the Third Proportional to 34,245 and 45,807.75

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Solution

The third proportional to 34,245 and 45,807.75 is: 61,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,245 : 45,807.75 = 45,807.75 : x
  2. Step 2: Convert to fraction form
    34,245/45,807.75 = 45,807.75/x
  3. Step 3: Cross multiply
    34,245x = 45,807.75 × 45,807.75
  4. Step 4: Simplify right side
    34,245x = 2,098,349,960.06
  5. Step 5: Solve for x
    x = 2,098,349,960.06/34,245
  6. Step 6: Final answer
    x = 61,274.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.