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Finding the Third Proportional to 15,582.38 and 21,289.08

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Solution

The third proportional to 15,582.38 and 21,289.08 is: 29,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.38 : 21,289.08 = 21,289.08 : x
  2. Step 2: Convert to fraction form
    15,582.38/21,289.08 = 21,289.08/x
  3. Step 3: Cross multiply
    15,582.38x = 21,289.08 × 21,289.08
  4. Step 4: Simplify right side
    15,582.38x = 453,224,847.41
  5. Step 5: Solve for x
    x = 453,224,847.41/15,582.38
  6. Step 6: Final answer
    x = 29,085.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.