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Finding the Third Proportional to 19,312.88 and 42,314.63

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Solution

The third proportional to 19,312.88 and 42,314.63 is: 92,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312.88 : 42,314.63 = 42,314.63 : x
  2. Step 2: Convert to fraction form
    19,312.88/42,314.63 = 42,314.63/x
  3. Step 3: Cross multiply
    19,312.88x = 42,314.63 × 42,314.63
  4. Step 4: Simplify right side
    19,312.88x = 1,790,527,488.89
  5. Step 5: Solve for x
    x = 1,790,527,488.89/19,312.88
  6. Step 6: Final answer
    x = 92,711.60

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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.