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Finding the Third Proportional to 37,004.34 and 89,477.16

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Solution

The third proportional to 37,004.34 and 89,477.16 is: 216,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,004.34 : 89,477.16 = 89,477.16 : x
  2. Step 2: Convert to fraction form
    37,004.34/89,477.16 = 89,477.16/x
  3. Step 3: Cross multiply
    37,004.34x = 89,477.16 × 89,477.16
  4. Step 4: Simplify right side
    37,004.34x = 8,006,161,490.59
  5. Step 5: Solve for x
    x = 8,006,161,490.59/37,004.34
  6. Step 6: Final answer
    x = 216,357.34

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.