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Finding the Third Proportional to 15,708.94 and 23,289.19

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Solution

The third proportional to 15,708.94 and 23,289.19 is: 34,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.94 : 23,289.19 = 23,289.19 : x
  2. Step 2: Convert to fraction form
    15,708.94/23,289.19 = 23,289.19/x
  3. Step 3: Cross multiply
    15,708.94x = 23,289.19 × 23,289.19
  4. Step 4: Simplify right side
    15,708.94x = 542,386,254.41
  5. Step 5: Solve for x
    x = 542,386,254.41/15,708.94
  6. Step 6: Final answer
    x = 34,527.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.