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Finding the Third Proportional to 4,210 and 4,602

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Solution

The third proportional to 4,210 and 4,602 is: 5,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210 : 4,602 = 4,602 : x
  2. Step 2: Convert to fraction form
    4,210/4,602 = 4,602/x
  3. Step 3: Cross multiply
    4,210x = 4,602 × 4,602
  4. Step 4: Simplify right side
    4,210x = 21,178,404
  5. Step 5: Solve for x
    x = 21,178,404/4,210
  6. Step 6: Final answer
    x = 5,030.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.