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Finding the Third Proportional to 14,824.13 and 32,564.25

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Solution

The third proportional to 14,824.13 and 32,564.25 is: 71,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.13 : 32,564.25 = 32,564.25 : x
  2. Step 2: Convert to fraction form
    14,824.13/32,564.25 = 32,564.25/x
  3. Step 3: Cross multiply
    14,824.13x = 32,564.25 × 32,564.25
  4. Step 4: Simplify right side
    14,824.13x = 1,060,430,378.06
  5. Step 5: Solve for x
    x = 1,060,430,378.06/14,824.13
  6. Step 6: Final answer
    x = 71,534.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.