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Finding the Third Proportional to 32,905.13 and 71,064.19

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Solution

The third proportional to 32,905.13 and 71,064.19 is: 153,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.13 : 71,064.19 = 71,064.19 : x
  2. Step 2: Convert to fraction form
    32,905.13/71,064.19 = 71,064.19/x
  3. Step 3: Cross multiply
    32,905.13x = 71,064.19 × 71,064.19
  4. Step 4: Simplify right side
    32,905.13x = 5,050,118,745.04
  5. Step 5: Solve for x
    x = 5,050,118,745.04/32,905.13
  6. Step 6: Final answer
    x = 153,475.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.