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Finding the Third Proportional to 18,207 and 26,689.50

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Solution

The third proportional to 18,207 and 26,689.50 is: 39,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207 : 26,689.50 = 26,689.50 : x
  2. Step 2: Convert to fraction form
    18,207/26,689.50 = 26,689.50/x
  3. Step 3: Cross multiply
    18,207x = 26,689.50 × 26,689.50
  4. Step 4: Simplify right side
    18,207x = 712,329,410.25
  5. Step 5: Solve for x
    x = 712,329,410.25/18,207
  6. Step 6: Final answer
    x = 39,123.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.