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Finding the Third Proportional to 45,335 and 70,370.50

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Solution

The third proportional to 45,335 and 70,370.50 is: 109,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,335 : 70,370.50 = 70,370.50 : x
  2. Step 2: Convert to fraction form
    45,335/70,370.50 = 70,370.50/x
  3. Step 3: Cross multiply
    45,335x = 70,370.50 × 70,370.50
  4. Step 4: Simplify right side
    45,335x = 4,952,007,270.25
  5. Step 5: Solve for x
    x = 4,952,007,270.25/45,335
  6. Step 6: Final answer
    x = 109,231.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.