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Finding the Third Proportional to 35,470.41 and 76,476.66

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Solution

The third proportional to 35,470.41 and 76,476.66 is: 164,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,470.41 : 76,476.66 = 76,476.66 : x
  2. Step 2: Convert to fraction form
    35,470.41/76,476.66 = 76,476.66/x
  3. Step 3: Cross multiply
    35,470.41x = 76,476.66 × 76,476.66
  4. Step 4: Simplify right side
    35,470.41x = 5,848,678,951.18
  5. Step 5: Solve for x
    x = 5,848,678,951.18/35,470.41
  6. Step 6: Final answer
    x = 164,888.98

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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.