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Finding the Third Proportional to 4,237.50 and 7,948.50

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Solution

The third proportional to 4,237.50 and 7,948.50 is: 14,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.50 : 7,948.50 = 7,948.50 : x
  2. Step 2: Convert to fraction form
    4,237.50/7,948.50 = 7,948.50/x
  3. Step 3: Cross multiply
    4,237.50x = 7,948.50 × 7,948.50
  4. Step 4: Simplify right side
    4,237.50x = 63,178,652.25
  5. Step 5: Solve for x
    x = 63,178,652.25/4,237.50
  6. Step 6: Final answer
    x = 14,909.42

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.