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Finding the Third Proportional to 19,586.81 and 42,773.06

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Solution

The third proportional to 19,586.81 and 42,773.06 is: 93,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.81 : 42,773.06 = 42,773.06 : x
  2. Step 2: Convert to fraction form
    19,586.81/42,773.06 = 42,773.06/x
  3. Step 3: Cross multiply
    19,586.81x = 42,773.06 × 42,773.06
  4. Step 4: Simplify right side
    19,586.81x = 1,829,534,875.63
  5. Step 5: Solve for x
    x = 1,829,534,875.63/19,586.81
  6. Step 6: Final answer
    x = 93,406.46

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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.