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Finding the Third Proportional to 32,913 and 64,184.06

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Solution

The third proportional to 32,913 and 64,184.06 is: 125,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,913 : 64,184.06 = 64,184.06 : x
  2. Step 2: Convert to fraction form
    32,913/64,184.06 = 64,184.06/x
  3. Step 3: Cross multiply
    32,913x = 64,184.06 × 64,184.06
  4. Step 4: Simplify right side
    32,913x = 4,119,593,879.00
  5. Step 5: Solve for x
    x = 4,119,593,879.00/32,913
  6. Step 6: Final answer
    x = 125,166.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.