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Finding the Third Proportional to 18,099 and 26,501.50

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Solution

The third proportional to 18,099 and 26,501.50 is: 38,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,099 : 26,501.50 = 26,501.50 : x
  2. Step 2: Convert to fraction form
    18,099/26,501.50 = 26,501.50/x
  3. Step 3: Cross multiply
    18,099x = 26,501.50 × 26,501.50
  4. Step 4: Simplify right side
    18,099x = 702,329,502.25
  5. Step 5: Solve for x
    x = 702,329,502.25/18,099
  6. Step 6: Final answer
    x = 38,804.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.