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Finding the Third Proportional to 20,877.75 and 45,916.88

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Solution

The third proportional to 20,877.75 and 45,916.88 is: 100,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.75 : 45,916.88 = 45,916.88 : x
  2. Step 2: Convert to fraction form
    20,877.75/45,916.88 = 45,916.88/x
  3. Step 3: Cross multiply
    20,877.75x = 45,916.88 × 45,916.88
  4. Step 4: Simplify right side
    20,877.75x = 2,108,359,409.77
  5. Step 5: Solve for x
    x = 2,108,359,409.77/20,877.75
  6. Step 6: Final answer
    x = 100,985.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.