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Finding the Third Proportional to 20,098.50 and 42,465

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Solution

The third proportional to 20,098.50 and 42,465 is: 89,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.50 : 42,465 = 42,465 : x
  2. Step 2: Convert to fraction form
    20,098.50/42,465 = 42,465/x
  3. Step 3: Cross multiply
    20,098.50x = 42,465 × 42,465
  4. Step 4: Simplify right side
    20,098.50x = 1,803,276,225
  5. Step 5: Solve for x
    x = 1,803,276,225/20,098.50
  6. Step 6: Final answer
    x = 89,721.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.