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Finding the Third Proportional to 32,483 and 69,801.50

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Solution

The third proportional to 32,483 and 69,801.50 is: 149,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483 : 69,801.50 = 69,801.50 : x
  2. Step 2: Convert to fraction form
    32,483/69,801.50 = 69,801.50/x
  3. Step 3: Cross multiply
    32,483x = 69,801.50 × 69,801.50
  4. Step 4: Simplify right side
    32,483x = 4,872,249,402.25
  5. Step 5: Solve for x
    x = 4,872,249,402.25/32,483
  6. Step 6: Final answer
    x = 149,993.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.