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Finding the Third Proportional to 37,038.75 and 58,838.63

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Solution

The third proportional to 37,038.75 and 58,838.63 is: 93,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.75 : 58,838.63 = 58,838.63 : x
  2. Step 2: Convert to fraction form
    37,038.75/58,838.63 = 58,838.63/x
  3. Step 3: Cross multiply
    37,038.75x = 58,838.63 × 58,838.63
  4. Step 4: Simplify right side
    37,038.75x = 3,461,983,791.89
  5. Step 5: Solve for x
    x = 3,461,983,791.89/37,038.75
  6. Step 6: Final answer
    x = 93,469.24

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.