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Finding the Third Proportional to 47,673.56 and 74,304.84

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Solution

The third proportional to 47,673.56 and 74,304.84 is: 115,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,673.56 : 74,304.84 = 74,304.84 : x
  2. Step 2: Convert to fraction form
    47,673.56/74,304.84 = 74,304.84/x
  3. Step 3: Cross multiply
    47,673.56x = 74,304.84 × 74,304.84
  4. Step 4: Simplify right side
    47,673.56x = 5,521,209,804.71
  5. Step 5: Solve for x
    x = 5,521,209,804.71/47,673.56
  6. Step 6: Final answer
    x = 115,812.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.