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Finding the Third Proportional to 1,357.59 and 2,971.69

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Solution

The third proportional to 1,357.59 and 2,971.69 is: 6,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.59 : 2,971.69 = 2,971.69 : x
  2. Step 2: Convert to fraction form
    1,357.59/2,971.69 = 2,971.69/x
  3. Step 3: Cross multiply
    1,357.59x = 2,971.69 × 2,971.69
  4. Step 4: Simplify right side
    1,357.59x = 8,830,926.60
  5. Step 5: Solve for x
    x = 8,830,926.60/1,357.59
  6. Step 6: Final answer
    x = 6,504.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.