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Finding the Third Proportional to 32,114.81 and 45,645.19

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Solution

The third proportional to 32,114.81 and 45,645.19 is: 64,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.81 : 45,645.19 = 45,645.19 : x
  2. Step 2: Convert to fraction form
    32,114.81/45,645.19 = 45,645.19/x
  3. Step 3: Cross multiply
    32,114.81x = 45,645.19 × 45,645.19
  4. Step 4: Simplify right side
    32,114.81x = 2,083,483,141.91
  5. Step 5: Solve for x
    x = 2,083,483,141.91/32,114.81
  6. Step 6: Final answer
    x = 64,876.08

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.