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Finding the Third Proportional to 45,215.72 and 66,470.63

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Solution

The third proportional to 45,215.72 and 66,470.63 is: 97,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,215.72 : 66,470.63 = 66,470.63 : x
  2. Step 2: Convert to fraction form
    45,215.72/66,470.63 = 66,470.63/x
  3. Step 3: Cross multiply
    45,215.72x = 66,470.63 × 66,470.63
  4. Step 4: Simplify right side
    45,215.72x = 4,418,343,987.89
  5. Step 5: Solve for x
    x = 4,418,343,987.89/45,215.72
  6. Step 6: Final answer
    x = 97,716.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.