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Finding the Third Proportional to 5,130.75 and 6,602.63

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Solution

The third proportional to 5,130.75 and 6,602.63 is: 8,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.75 : 6,602.63 = 6,602.63 : x
  2. Step 2: Convert to fraction form
    5,130.75/6,602.63 = 6,602.63/x
  3. Step 3: Cross multiply
    5,130.75x = 6,602.63 × 6,602.63
  4. Step 4: Simplify right side
    5,130.75x = 43,594,656.89
  5. Step 5: Solve for x
    x = 43,594,656.89/5,130.75
  6. Step 6: Final answer
    x = 8,496.74

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.