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Finding the Third Proportional to 32,061 and 70,021.50

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Solution

The third proportional to 32,061 and 70,021.50 is: 152,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,061 : 70,021.50 = 70,021.50 : x
  2. Step 2: Convert to fraction form
    32,061/70,021.50 = 70,021.50/x
  3. Step 3: Cross multiply
    32,061x = 70,021.50 × 70,021.50
  4. Step 4: Simplify right side
    32,061x = 4,903,010,462.25
  5. Step 5: Solve for x
    x = 4,903,010,462.25/32,061
  6. Step 6: Final answer
    x = 152,927.56

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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.