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Finding the Third Proportional to 12,417.75 and 29,287.69

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Solution

The third proportional to 12,417.75 and 29,287.69 is: 69,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.75 : 29,287.69 = 29,287.69 : x
  2. Step 2: Convert to fraction form
    12,417.75/29,287.69 = 29,287.69/x
  3. Step 3: Cross multiply
    12,417.75x = 29,287.69 × 29,287.69
  4. Step 4: Simplify right side
    12,417.75x = 857,768,639.10
  5. Step 5: Solve for x
    x = 857,768,639.10/12,417.75
  6. Step 6: Final answer
    x = 69,076.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.