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Finding the Third Proportional to 7,155.75 and 15,503.19

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Solution

The third proportional to 7,155.75 and 15,503.19 is: 33,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.75 : 15,503.19 = 15,503.19 : x
  2. Step 2: Convert to fraction form
    7,155.75/15,503.19 = 15,503.19/x
  3. Step 3: Cross multiply
    7,155.75x = 15,503.19 × 15,503.19
  4. Step 4: Simplify right side
    7,155.75x = 240,348,822.66
  5. Step 5: Solve for x
    x = 240,348,822.66/7,155.75
  6. Step 6: Final answer
    x = 33,588.21

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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.