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Finding the Third Proportional to 39,752 and 87,007.50

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Solution

The third proportional to 39,752 and 87,007.50 is: 190,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,752 : 87,007.50 = 87,007.50 : x
  2. Step 2: Convert to fraction form
    39,752/87,007.50 = 87,007.50/x
  3. Step 3: Cross multiply
    39,752x = 87,007.50 × 87,007.50
  4. Step 4: Simplify right side
    39,752x = 7,570,305,056.25
  5. Step 5: Solve for x
    x = 7,570,305,056.25/39,752
  6. Step 6: Final answer
    x = 190,438.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.