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Finding the Third Proportional to 19,981.50 and 31,045.50

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Solution

The third proportional to 19,981.50 and 31,045.50 is: 48,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981.50 : 31,045.50 = 31,045.50 : x
  2. Step 2: Convert to fraction form
    19,981.50/31,045.50 = 31,045.50/x
  3. Step 3: Cross multiply
    19,981.50x = 31,045.50 × 31,045.50
  4. Step 4: Simplify right side
    19,981.50x = 963,823,070.25
  5. Step 5: Solve for x
    x = 963,823,070.25/19,981.50
  6. Step 6: Final answer
    x = 48,235.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.