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Finding the Third Proportional to 7,832.25 and 16,485.75

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Solution

The third proportional to 7,832.25 and 16,485.75 is: 34,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.25 : 16,485.75 = 16,485.75 : x
  2. Step 2: Convert to fraction form
    7,832.25/16,485.75 = 16,485.75/x
  3. Step 3: Cross multiply
    7,832.25x = 16,485.75 × 16,485.75
  4. Step 4: Simplify right side
    7,832.25x = 271,779,953.06
  5. Step 5: Solve for x
    x = 271,779,953.06/7,832.25
  6. Step 6: Final answer
    x = 34,700.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.