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Finding the Third Proportional to 5,070 and 7,414.50

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Solution

The third proportional to 5,070 and 7,414.50 is: 10,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070 : 7,414.50 = 7,414.50 : x
  2. Step 2: Convert to fraction form
    5,070/7,414.50 = 7,414.50/x
  3. Step 3: Cross multiply
    5,070x = 7,414.50 × 7,414.50
  4. Step 4: Simplify right side
    5,070x = 54,974,810.25
  5. Step 5: Solve for x
    x = 54,974,810.25/5,070
  6. Step 6: Final answer
    x = 10,843.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.