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Finding the Third Proportional to 7,582 and 11,125.25

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Solution

The third proportional to 7,582 and 11,125.25 is: 16,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582 : 11,125.25 = 11,125.25 : x
  2. Step 2: Convert to fraction form
    7,582/11,125.25 = 11,125.25/x
  3. Step 3: Cross multiply
    7,582x = 11,125.25 × 11,125.25
  4. Step 4: Simplify right side
    7,582x = 123,771,187.56
  5. Step 5: Solve for x
    x = 123,771,187.56/7,582
  6. Step 6: Final answer
    x = 16,324.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.