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Finding the Third Proportional to 19,710 and 41,929.50

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Solution

The third proportional to 19,710 and 41,929.50 is: 89,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710 : 41,929.50 = 41,929.50 : x
  2. Step 2: Convert to fraction form
    19,710/41,929.50 = 41,929.50/x
  3. Step 3: Cross multiply
    19,710x = 41,929.50 × 41,929.50
  4. Step 4: Simplify right side
    19,710x = 1,758,082,970.25
  5. Step 5: Solve for x
    x = 1,758,082,970.25/19,710
  6. Step 6: Final answer
    x = 89,197.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.