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Finding the Third Proportional to 17,530.17 and 36,094.04

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Solution

The third proportional to 17,530.17 and 36,094.04 is: 74,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.17 : 36,094.04 = 36,094.04 : x
  2. Step 2: Convert to fraction form
    17,530.17/36,094.04 = 36,094.04/x
  3. Step 3: Cross multiply
    17,530.17x = 36,094.04 × 36,094.04
  4. Step 4: Simplify right side
    17,530.17x = 1,302,779,937.83
  5. Step 5: Solve for x
    x = 1,302,779,937.83/17,530.17
  6. Step 6: Final answer
    x = 74,316.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.