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Finding the Third Proportional to 24,298.50 and 31,048.50

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Solution

The third proportional to 24,298.50 and 31,048.50 is: 39,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.50 : 31,048.50 = 31,048.50 : x
  2. Step 2: Convert to fraction form
    24,298.50/31,048.50 = 31,048.50/x
  3. Step 3: Cross multiply
    24,298.50x = 31,048.50 × 31,048.50
  4. Step 4: Simplify right side
    24,298.50x = 964,009,352.25
  5. Step 5: Solve for x
    x = 964,009,352.25/24,298.50
  6. Step 6: Final answer
    x = 39,673.62

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.