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Finding the Third Proportional to 15,300.14 and 32,437.34

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Solution

The third proportional to 15,300.14 and 32,437.34 is: 68,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300.14 : 32,437.34 = 32,437.34 : x
  2. Step 2: Convert to fraction form
    15,300.14/32,437.34 = 32,437.34/x
  3. Step 3: Cross multiply
    15,300.14x = 32,437.34 × 32,437.34
  4. Step 4: Simplify right side
    15,300.14x = 1,052,180,762.72
  5. Step 5: Solve for x
    x = 1,052,180,762.72/15,300.14
  6. Step 6: Final answer
    x = 68,769.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.