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Finding the Third Proportional to 5,038.50 and 6,957

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Solution

The third proportional to 5,038.50 and 6,957 is: 9,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.50 : 6,957 = 6,957 : x
  2. Step 2: Convert to fraction form
    5,038.50/6,957 = 6,957/x
  3. Step 3: Cross multiply
    5,038.50x = 6,957 × 6,957
  4. Step 4: Simplify right side
    5,038.50x = 48,399,849
  5. Step 5: Solve for x
    x = 48,399,849/5,038.50
  6. Step 6: Final answer
    x = 9,606.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.