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Finding the Third Proportional to 29,097.50 and 62,011

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Solution

The third proportional to 29,097.50 and 62,011 is: 132,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097.50 : 62,011 = 62,011 : x
  2. Step 2: Convert to fraction form
    29,097.50/62,011 = 62,011/x
  3. Step 3: Cross multiply
    29,097.50x = 62,011 × 62,011
  4. Step 4: Simplify right side
    29,097.50x = 3,845,364,121
  5. Step 5: Solve for x
    x = 3,845,364,121/29,097.50
  6. Step 6: Final answer
    x = 132,154.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.