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Finding the Third Proportional to 19,840.50 and 41,139

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Solution

The third proportional to 19,840.50 and 41,139 is: 85,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.50 : 41,139 = 41,139 : x
  2. Step 2: Convert to fraction form
    19,840.50/41,139 = 41,139/x
  3. Step 3: Cross multiply
    19,840.50x = 41,139 × 41,139
  4. Step 4: Simplify right side
    19,840.50x = 1,692,417,321
  5. Step 5: Solve for x
    x = 1,692,417,321/19,840.50
  6. Step 6: Final answer
    x = 85,301.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.