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Finding the Third Proportional to 30,246.75 and 65,666.25

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Solution

The third proportional to 30,246.75 and 65,666.25 is: 142,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,246.75 : 65,666.25 = 65,666.25 : x
  2. Step 2: Convert to fraction form
    30,246.75/65,666.25 = 65,666.25/x
  3. Step 3: Cross multiply
    30,246.75x = 65,666.25 × 65,666.25
  4. Step 4: Simplify right side
    30,246.75x = 4,312,056,389.06
  5. Step 5: Solve for x
    x = 4,312,056,389.06/30,246.75
  6. Step 6: Final answer
    x = 142,562.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.