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Finding the Third Proportional to 29,477.25 and 45,678.94

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Solution

The third proportional to 29,477.25 and 45,678.94 is: 70,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,477.25 : 45,678.94 = 45,678.94 : x
  2. Step 2: Convert to fraction form
    29,477.25/45,678.94 = 45,678.94/x
  3. Step 3: Cross multiply
    29,477.25x = 45,678.94 × 45,678.94
  4. Step 4: Simplify right side
    29,477.25x = 2,086,565,331.13
  5. Step 5: Solve for x
    x = 2,086,565,331.13/29,477.25
  6. Step 6: Final answer
    x = 70,785.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.