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Finding the Third Proportional to 4,602 and 4,966.50

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Solution

The third proportional to 4,602 and 4,966.50 is: 5,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602 : 4,966.50 = 4,966.50 : x
  2. Step 2: Convert to fraction form
    4,602/4,966.50 = 4,966.50/x
  3. Step 3: Cross multiply
    4,602x = 4,966.50 × 4,966.50
  4. Step 4: Simplify right side
    4,602x = 24,666,122.25
  5. Step 5: Solve for x
    x = 24,666,122.25/4,602
  6. Step 6: Final answer
    x = 5,359.87

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.