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Finding the Third Proportional to 18,101 and 26,502.50

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Solution

The third proportional to 18,101 and 26,502.50 is: 38,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101 : 26,502.50 = 26,502.50 : x
  2. Step 2: Convert to fraction form
    18,101/26,502.50 = 26,502.50/x
  3. Step 3: Cross multiply
    18,101x = 26,502.50 × 26,502.50
  4. Step 4: Simplify right side
    18,101x = 702,382,506.25
  5. Step 5: Solve for x
    x = 702,382,506.25/18,101
  6. Step 6: Final answer
    x = 38,803.52

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