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Finding the Third Proportional to 32,065.88 and 42,762.94

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Solution

The third proportional to 32,065.88 and 42,762.94 is: 57,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.88 : 42,762.94 = 42,762.94 : x
  2. Step 2: Convert to fraction form
    32,065.88/42,762.94 = 42,762.94/x
  3. Step 3: Cross multiply
    32,065.88x = 42,762.94 × 42,762.94
  4. Step 4: Simplify right side
    32,065.88x = 1,828,668,823.63
  5. Step 5: Solve for x
    x = 1,828,668,823.63/32,065.88
  6. Step 6: Final answer
    x = 57,028.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.