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Finding the Third Proportional to 19,585.13 and 28,539.84

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Solution

The third proportional to 19,585.13 and 28,539.84 is: 41,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.13 : 28,539.84 = 28,539.84 : x
  2. Step 2: Convert to fraction form
    19,585.13/28,539.84 = 28,539.84/x
  3. Step 3: Cross multiply
    19,585.13x = 28,539.84 × 28,539.84
  4. Step 4: Simplify right side
    19,585.13x = 814,522,681.27
  5. Step 5: Solve for x
    x = 814,522,681.27/19,585.13
  6. Step 6: Final answer
    x = 41,588.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.