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Finding the Third Proportional to 19,502 and 29,981.50

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Solution

The third proportional to 19,502 and 29,981.50 is: 46,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502 : 29,981.50 = 29,981.50 : x
  2. Step 2: Convert to fraction form
    19,502/29,981.50 = 29,981.50/x
  3. Step 3: Cross multiply
    19,502x = 29,981.50 × 29,981.50
  4. Step 4: Simplify right side
    19,502x = 898,890,342.25
  5. Step 5: Solve for x
    x = 898,890,342.25/19,502
  6. Step 6: Final answer
    x = 46,092.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.