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Finding the Third Proportional to 7,140 and 15,373.88

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Solution

The third proportional to 7,140 and 15,373.88 is: 33,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140 : 15,373.88 = 15,373.88 : x
  2. Step 2: Convert to fraction form
    7,140/15,373.88 = 15,373.88/x
  3. Step 3: Cross multiply
    7,140x = 15,373.88 × 15,373.88
  4. Step 4: Simplify right side
    7,140x = 236,356,032.52
  5. Step 5: Solve for x
    x = 236,356,032.52/7,140
  6. Step 6: Final answer
    x = 33,103.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.