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Finding the Third Proportional to 19,529.23 and 32,061.76

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Solution

The third proportional to 19,529.23 and 32,061.76 is: 52,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529.23 : 32,061.76 = 32,061.76 : x
  2. Step 2: Convert to fraction form
    19,529.23/32,061.76 = 32,061.76/x
  3. Step 3: Cross multiply
    19,529.23x = 32,061.76 × 32,061.76
  4. Step 4: Simplify right side
    19,529.23x = 1,027,956,564.51
  5. Step 5: Solve for x
    x = 1,027,956,564.51/19,529.23
  6. Step 6: Final answer
    x = 52,636.83

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.