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Finding the Third Proportional to 4,506 and 7,029

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Solution

The third proportional to 4,506 and 7,029 is: 10,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 7,029 = 7,029 : x
  2. Step 2: Convert to fraction form
    4,506/7,029 = 7,029/x
  3. Step 3: Cross multiply
    4,506x = 7,029 × 7,029
  4. Step 4: Simplify right side
    4,506x = 49,406,841
  5. Step 5: Solve for x
    x = 49,406,841/4,506
  6. Step 6: Final answer
    x = 10,964.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.