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Finding the Third Proportional to 9,038.25 and 19,440

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Solution

The third proportional to 9,038.25 and 19,440 is: 41,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.25 : 19,440 = 19,440 : x
  2. Step 2: Convert to fraction form
    9,038.25/19,440 = 19,440/x
  3. Step 3: Cross multiply
    9,038.25x = 19,440 × 19,440
  4. Step 4: Simplify right side
    9,038.25x = 377,913,600
  5. Step 5: Solve for x
    x = 377,913,600/9,038.25
  6. Step 6: Final answer
    x = 41,812.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.