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Finding the Third Proportional to 32,460.75 and 70,457.34

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Solution

The third proportional to 32,460.75 and 70,457.34 is: 152,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460.75 : 70,457.34 = 70,457.34 : x
  2. Step 2: Convert to fraction form
    32,460.75/70,457.34 = 70,457.34/x
  3. Step 3: Cross multiply
    32,460.75x = 70,457.34 × 70,457.34
  4. Step 4: Simplify right side
    32,460.75x = 4,964,237,288.31
  5. Step 5: Solve for x
    x = 4,964,237,288.31/32,460.75
  6. Step 6: Final answer
    x = 152,930.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.