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Finding the Third Proportional to 19,258.50 and 40,380

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Solution

The third proportional to 19,258.50 and 40,380 is: 84,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258.50 : 40,380 = 40,380 : x
  2. Step 2: Convert to fraction form
    19,258.50/40,380 = 40,380/x
  3. Step 3: Cross multiply
    19,258.50x = 40,380 × 40,380
  4. Step 4: Simplify right side
    19,258.50x = 1,630,544,400
  5. Step 5: Solve for x
    x = 1,630,544,400/19,258.50
  6. Step 6: Final answer
    x = 84,666.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.