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Finding the Third Proportional to 6,502.50 and 15,527.25

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Solution

The third proportional to 6,502.50 and 15,527.25 is: 37,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.50 : 15,527.25 = 15,527.25 : x
  2. Step 2: Convert to fraction form
    6,502.50/15,527.25 = 15,527.25/x
  3. Step 3: Cross multiply
    6,502.50x = 15,527.25 × 15,527.25
  4. Step 4: Simplify right side
    6,502.50x = 241,095,492.56
  5. Step 5: Solve for x
    x = 241,095,492.56/6,502.50
  6. Step 6: Final answer
    x = 37,077.35

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.