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Finding the Third Proportional to 7,506 and 16,333.31

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Solution

The third proportional to 7,506 and 16,333.31 is: 35,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506 : 16,333.31 = 16,333.31 : x
  2. Step 2: Convert to fraction form
    7,506/16,333.31 = 16,333.31/x
  3. Step 3: Cross multiply
    7,506x = 16,333.31 × 16,333.31
  4. Step 4: Simplify right side
    7,506x = 266,777,097.22
  5. Step 5: Solve for x
    x = 266,777,097.22/7,506
  6. Step 6: Final answer
    x = 35,541.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.