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Finding the Third Proportional to 5,657.34 and 8,607.52

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Solution

The third proportional to 5,657.34 and 8,607.52 is: 13,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.34 : 8,607.52 = 8,607.52 : x
  2. Step 2: Convert to fraction form
    5,657.34/8,607.52 = 8,607.52/x
  3. Step 3: Cross multiply
    5,657.34x = 8,607.52 × 8,607.52
  4. Step 4: Simplify right side
    5,657.34x = 74,089,325.23
  5. Step 5: Solve for x
    x = 74,089,325.23/5,657.34
  6. Step 6: Final answer
    x = 13,096.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.