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Finding the Third Proportional to 7,032 and 10,602

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Solution

The third proportional to 7,032 and 10,602 is: 15,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032 : 10,602 = 10,602 : x
  2. Step 2: Convert to fraction form
    7,032/10,602 = 10,602/x
  3. Step 3: Cross multiply
    7,032x = 10,602 × 10,602
  4. Step 4: Simplify right side
    7,032x = 112,402,404
  5. Step 5: Solve for x
    x = 112,402,404/7,032
  6. Step 6: Final answer
    x = 15,984.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.