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Finding the Third Proportional to 29,528.30 and 64,801.27

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Solution

The third proportional to 29,528.30 and 64,801.27 is: 142,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,528.30 : 64,801.27 = 64,801.27 : x
  2. Step 2: Convert to fraction form
    29,528.30/64,801.27 = 64,801.27/x
  3. Step 3: Cross multiply
    29,528.30x = 64,801.27 × 64,801.27
  4. Step 4: Simplify right side
    29,528.30x = 4,199,204,026.60
  5. Step 5: Solve for x
    x = 4,199,204,026.60/29,528.30
  6. Step 6: Final answer
    x = 142,209.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.