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Finding the Third Proportional to 30,802.75 and 45,106.13

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Solution

The third proportional to 30,802.75 and 45,106.13 is: 66,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.75 : 45,106.13 = 45,106.13 : x
  2. Step 2: Convert to fraction form
    30,802.75/45,106.13 = 45,106.13/x
  3. Step 3: Cross multiply
    30,802.75x = 45,106.13 × 45,106.13
  4. Step 4: Simplify right side
    30,802.75x = 2,034,562,512.52
  5. Step 5: Solve for x
    x = 2,034,562,512.52/30,802.75
  6. Step 6: Final answer
    x = 66,051.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.