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Finding the Third Proportional to 32,842.97 and 70,925.63

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Solution

The third proportional to 32,842.97 and 70,925.63 is: 153,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.97 : 70,925.63 = 70,925.63 : x
  2. Step 2: Convert to fraction form
    32,842.97/70,925.63 = 70,925.63/x
  3. Step 3: Cross multiply
    32,842.97x = 70,925.63 × 70,925.63
  4. Step 4: Simplify right side
    32,842.97x = 5,030,444,281.64
  5. Step 5: Solve for x
    x = 5,030,444,281.64/32,842.97
  6. Step 6: Final answer
    x = 153,166.55

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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.