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Finding the Third Proportional to 9,340.50 and 19,915.50

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Solution

The third proportional to 9,340.50 and 19,915.50 is: 42,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.50 : 19,915.50 = 19,915.50 : x
  2. Step 2: Convert to fraction form
    9,340.50/19,915.50 = 19,915.50/x
  3. Step 3: Cross multiply
    9,340.50x = 19,915.50 × 19,915.50
  4. Step 4: Simplify right side
    9,340.50x = 396,627,140.25
  5. Step 5: Solve for x
    x = 396,627,140.25/9,340.50
  6. Step 6: Final answer
    x = 42,463.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.