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Finding the Third Proportional to 4,938.75 and 8,035.88

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Solution

The third proportional to 4,938.75 and 8,035.88 is: 13,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.75 : 8,035.88 = 8,035.88 : x
  2. Step 2: Convert to fraction form
    4,938.75/8,035.88 = 8,035.88/x
  3. Step 3: Cross multiply
    4,938.75x = 8,035.88 × 8,035.88
  4. Step 4: Simplify right side
    4,938.75x = 64,575,287.02
  5. Step 5: Solve for x
    x = 64,575,287.02/4,938.75
  6. Step 6: Final answer
    x = 13,075.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.