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Finding the Third Proportional to 29,802.75 and 49,088.25

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Solution

The third proportional to 29,802.75 and 49,088.25 is: 80,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.75 : 49,088.25 = 49,088.25 : x
  2. Step 2: Convert to fraction form
    29,802.75/49,088.25 = 49,088.25/x
  3. Step 3: Cross multiply
    29,802.75x = 49,088.25 × 49,088.25
  4. Step 4: Simplify right side
    29,802.75x = 2,409,656,288.06
  5. Step 5: Solve for x
    x = 2,409,656,288.06/29,802.75
  6. Step 6: Final answer
    x = 80,853.49

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.