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Finding the Third Proportional to 32,495.34 and 70,321.50

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Solution

The third proportional to 32,495.34 and 70,321.50 is: 152,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.34 : 70,321.50 = 70,321.50 : x
  2. Step 2: Convert to fraction form
    32,495.34/70,321.50 = 70,321.50/x
  3. Step 3: Cross multiply
    32,495.34x = 70,321.50 × 70,321.50
  4. Step 4: Simplify right side
    32,495.34x = 4,945,113,362.25
  5. Step 5: Solve for x
    x = 4,945,113,362.25/32,495.34
  6. Step 6: Final answer
    x = 152,179.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.