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Finding the Third Proportional to 32,509.13 and 70,971.75

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Solution

The third proportional to 32,509.13 and 70,971.75 is: 154,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.13 : 70,971.75 = 70,971.75 : x
  2. Step 2: Convert to fraction form
    32,509.13/70,971.75 = 70,971.75/x
  3. Step 3: Cross multiply
    32,509.13x = 70,971.75 × 70,971.75
  4. Step 4: Simplify right side
    32,509.13x = 5,036,989,298.06
  5. Step 5: Solve for x
    x = 5,036,989,298.06/32,509.13
  6. Step 6: Final answer
    x = 154,940.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.