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Finding the Third Proportional to 19,440.14 and 42,646.78

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Solution

The third proportional to 19,440.14 and 42,646.78 is: 93,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,440.14 : 42,646.78 = 42,646.78 : x
  2. Step 2: Convert to fraction form
    19,440.14/42,646.78 = 42,646.78/x
  3. Step 3: Cross multiply
    19,440.14x = 42,646.78 × 42,646.78
  4. Step 4: Simplify right side
    19,440.14x = 1,818,747,950.99
  5. Step 5: Solve for x
    x = 1,818,747,950.99/19,440.14
  6. Step 6: Final answer
    x = 93,556.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.