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Finding the Third Proportional to 32,835 and 68,005.50

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Solution

The third proportional to 32,835 and 68,005.50 is: 140,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,835 : 68,005.50 = 68,005.50 : x
  2. Step 2: Convert to fraction form
    32,835/68,005.50 = 68,005.50/x
  3. Step 3: Cross multiply
    32,835x = 68,005.50 × 68,005.50
  4. Step 4: Simplify right side
    32,835x = 4,624,748,030.25
  5. Step 5: Solve for x
    x = 4,624,748,030.25/32,835
  6. Step 6: Final answer
    x = 140,848.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.