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Finding the Third Proportional to 7,155 and 11,182.50

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Solution

The third proportional to 7,155 and 11,182.50 is: 17,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155 : 11,182.50 = 11,182.50 : x
  2. Step 2: Convert to fraction form
    7,155/11,182.50 = 11,182.50/x
  3. Step 3: Cross multiply
    7,155x = 11,182.50 × 11,182.50
  4. Step 4: Simplify right side
    7,155x = 125,048,306.25
  5. Step 5: Solve for x
    x = 125,048,306.25/7,155
  6. Step 6: Final answer
    x = 17,477.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.