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Finding the Third Proportional to 32,265 and 70,483.50

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Solution

The third proportional to 32,265 and 70,483.50 is: 153,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,265 : 70,483.50 = 70,483.50 : x
  2. Step 2: Convert to fraction form
    32,265/70,483.50 = 70,483.50/x
  3. Step 3: Cross multiply
    32,265x = 70,483.50 × 70,483.50
  4. Step 4: Simplify right side
    32,265x = 4,967,923,772.25
  5. Step 5: Solve for x
    x = 4,967,923,772.25/32,265
  6. Step 6: Final answer
    x = 153,972.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.