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Finding the Third Proportional to 48,415 and 66,670.50

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Solution

The third proportional to 48,415 and 66,670.50 is: 91,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,415 : 66,670.50 = 66,670.50 : x
  2. Step 2: Convert to fraction form
    48,415/66,670.50 = 66,670.50/x
  3. Step 3: Cross multiply
    48,415x = 66,670.50 × 66,670.50
  4. Step 4: Simplify right side
    48,415x = 4,444,955,570.25
  5. Step 5: Solve for x
    x = 4,444,955,570.25/48,415
  6. Step 6: Final answer
    x = 91,809.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.