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Finding the Third Proportional to 32,987.94 and 71,159.88

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Solution

The third proportional to 32,987.94 and 71,159.88 is: 153,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987.94 : 71,159.88 = 71,159.88 : x
  2. Step 2: Convert to fraction form
    32,987.94/71,159.88 = 71,159.88/x
  3. Step 3: Cross multiply
    32,987.94x = 71,159.88 × 71,159.88
  4. Step 4: Simplify right side
    32,987.94x = 5,063,727,810.02
  5. Step 5: Solve for x
    x = 5,063,727,810.02/32,987.94
  6. Step 6: Final answer
    x = 153,502.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.