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Finding the Third Proportional to 15,102.56 and 32,392.13

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Solution

The third proportional to 15,102.56 and 32,392.13 is: 69,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.56 : 32,392.13 = 32,392.13 : x
  2. Step 2: Convert to fraction form
    15,102.56/32,392.13 = 32,392.13/x
  3. Step 3: Cross multiply
    15,102.56x = 32,392.13 × 32,392.13
  4. Step 4: Simplify right side
    15,102.56x = 1,049,249,762.02
  5. Step 5: Solve for x
    x = 1,049,249,762.02/15,102.56
  6. Step 6: Final answer
    x = 69,474.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.