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Finding the Third Proportional to 45,384.75 and 59,724

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Solution

The third proportional to 45,384.75 and 59,724 is: 78,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384.75 : 59,724 = 59,724 : x
  2. Step 2: Convert to fraction form
    45,384.75/59,724 = 59,724/x
  3. Step 3: Cross multiply
    45,384.75x = 59,724 × 59,724
  4. Step 4: Simplify right side
    45,384.75x = 3,566,956,176
  5. Step 5: Solve for x
    x = 3,566,956,176/45,384.75
  6. Step 6: Final answer
    x = 78,593.72

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.