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Finding the Third Proportional to 7,506.84 and 17,376.47

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Solution

The third proportional to 7,506.84 and 17,376.47 is: 40,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.84 : 17,376.47 = 17,376.47 : x
  2. Step 2: Convert to fraction form
    7,506.84/17,376.47 = 17,376.47/x
  3. Step 3: Cross multiply
    7,506.84x = 17,376.47 × 17,376.47
  4. Step 4: Simplify right side
    7,506.84x = 301,941,666.22
  5. Step 5: Solve for x
    x = 301,941,666.22/7,506.84
  6. Step 6: Final answer
    x = 40,222.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.