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Finding the Third Proportional to 7,202.25 and 11,547.56

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Solution

The third proportional to 7,202.25 and 11,547.56 is: 18,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.25 : 11,547.56 = 11,547.56 : x
  2. Step 2: Convert to fraction form
    7,202.25/11,547.56 = 11,547.56/x
  3. Step 3: Cross multiply
    7,202.25x = 11,547.56 × 11,547.56
  4. Step 4: Simplify right side
    7,202.25x = 133,346,199.69
  5. Step 5: Solve for x
    x = 133,346,199.69/7,202.25
  6. Step 6: Final answer
    x = 18,514.52

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.