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Finding the Third Proportional to 7,200 and 15,397.88

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Solution

The third proportional to 7,200 and 15,397.88 is: 32,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200 : 15,397.88 = 15,397.88 : x
  2. Step 2: Convert to fraction form
    7,200/15,397.88 = 15,397.88/x
  3. Step 3: Cross multiply
    7,200x = 15,397.88 × 15,397.88
  4. Step 4: Simplify right side
    7,200x = 237,094,554.52
  5. Step 5: Solve for x
    x = 237,094,554.52/7,200
  6. Step 6: Final answer
    x = 32,929.80

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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.