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Finding the Third Proportional to 7,973.63 and 17,404.13

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Solution

The third proportional to 7,973.63 and 17,404.13 is: 37,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.63 : 17,404.13 = 17,404.13 : x
  2. Step 2: Convert to fraction form
    7,973.63/17,404.13 = 17,404.13/x
  3. Step 3: Cross multiply
    7,973.63x = 17,404.13 × 17,404.13
  4. Step 4: Simplify right side
    7,973.63x = 302,903,567.02
  5. Step 5: Solve for x
    x = 302,903,567.02/7,973.63
  6. Step 6: Final answer
    x = 37,988.19

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