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Finding the Third Proportional to 15,011.50 and 32,343

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Solution

The third proportional to 15,011.50 and 32,343 is: 69,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.50 : 32,343 = 32,343 : x
  2. Step 2: Convert to fraction form
    15,011.50/32,343 = 32,343/x
  3. Step 3: Cross multiply
    15,011.50x = 32,343 × 32,343
  4. Step 4: Simplify right side
    15,011.50x = 1,046,069,649
  5. Step 5: Solve for x
    x = 1,046,069,649/15,011.50
  6. Step 6: Final answer
    x = 69,684.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.