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Finding the Third Proportional to 7,135.59 and 15,497.58

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Solution

The third proportional to 7,135.59 and 15,497.58 is: 33,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.59 : 15,497.58 = 15,497.58 : x
  2. Step 2: Convert to fraction form
    7,135.59/15,497.58 = 15,497.58/x
  3. Step 3: Cross multiply
    7,135.59x = 15,497.58 × 15,497.58
  4. Step 4: Simplify right side
    7,135.59x = 240,174,927.74
  5. Step 5: Solve for x
    x = 240,174,927.74/7,135.59
  6. Step 6: Final answer
    x = 33,658.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.