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Finding the Third Proportional to 19,870.95 and 42,788.88

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Solution

The third proportional to 19,870.95 and 42,788.88 is: 92,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.95 : 42,788.88 = 42,788.88 : x
  2. Step 2: Convert to fraction form
    19,870.95/42,788.88 = 42,788.88/x
  3. Step 3: Cross multiply
    19,870.95x = 42,788.88 × 42,788.88
  4. Step 4: Simplify right side
    19,870.95x = 1,830,888,492.34
  5. Step 5: Solve for x
    x = 1,830,888,492.34/19,870.95
  6. Step 6: Final answer
    x = 92,138.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.