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Finding the Third Proportional to 4,681.55 and 9,072.63

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Solution

The third proportional to 4,681.55 and 9,072.63 is: 17,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.55 : 9,072.63 = 9,072.63 : x
  2. Step 2: Convert to fraction form
    4,681.55/9,072.63 = 9,072.63/x
  3. Step 3: Cross multiply
    4,681.55x = 9,072.63 × 9,072.63
  4. Step 4: Simplify right side
    4,681.55x = 82,312,666.15
  5. Step 5: Solve for x
    x = 82,312,666.15/4,681.55
  6. Step 6: Final answer
    x = 17,582.37

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.