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Finding the Third Proportional to 4,506 and 9,130

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Solution

The third proportional to 4,506 and 9,130 is: 18,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 9,130 = 9,130 : x
  2. Step 2: Convert to fraction form
    4,506/9,130 = 9,130/x
  3. Step 3: Cross multiply
    4,506x = 9,130 × 9,130
  4. Step 4: Simplify right side
    4,506x = 83,356,900
  5. Step 5: Solve for x
    x = 83,356,900/4,506
  6. Step 6: Final answer
    x = 18,499.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.