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Finding the Third Proportional to 8,840.25 and 19,381.50

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Solution

The third proportional to 8,840.25 and 19,381.50 is: 42,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840.25 : 19,381.50 = 19,381.50 : x
  2. Step 2: Convert to fraction form
    8,840.25/19,381.50 = 19,381.50/x
  3. Step 3: Cross multiply
    8,840.25x = 19,381.50 × 19,381.50
  4. Step 4: Simplify right side
    8,840.25x = 375,642,542.25
  5. Step 5: Solve for x
    x = 375,642,542.25/8,840.25
  6. Step 6: Final answer
    x = 42,492.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.