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Finding the Third Proportional to 32,281.88 and 70,282.13

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Solution

The third proportional to 32,281.88 and 70,282.13 is: 153,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281.88 : 70,282.13 = 70,282.13 : x
  2. Step 2: Convert to fraction form
    32,281.88/70,282.13 = 70,282.13/x
  3. Step 3: Cross multiply
    32,281.88x = 70,282.13 × 70,282.13
  4. Step 4: Simplify right side
    32,281.88x = 4,939,577,094.52
  5. Step 5: Solve for x
    x = 4,939,577,094.52/32,281.88
  6. Step 6: Final answer
    x = 153,013.95

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