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Finding the Third Proportional to 32,306.63 and 68,521.50

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Solution

The third proportional to 32,306.63 and 68,521.50 is: 145,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306.63 : 68,521.50 = 68,521.50 : x
  2. Step 2: Convert to fraction form
    32,306.63/68,521.50 = 68,521.50/x
  3. Step 3: Cross multiply
    32,306.63x = 68,521.50 × 68,521.50
  4. Step 4: Simplify right side
    32,306.63x = 4,695,195,962.25
  5. Step 5: Solve for x
    x = 4,695,195,962.25/32,306.63
  6. Step 6: Final answer
    x = 145,332.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.