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Finding the Third Proportional to 47,582.44 and 66,528.84

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Solution

The third proportional to 47,582.44 and 66,528.84 is: 93,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,582.44 : 66,528.84 = 66,528.84 : x
  2. Step 2: Convert to fraction form
    47,582.44/66,528.84 = 66,528.84/x
  3. Step 3: Cross multiply
    47,582.44x = 66,528.84 × 66,528.84
  4. Step 4: Simplify right side
    47,582.44x = 4,426,087,050.71
  5. Step 5: Solve for x
    x = 4,426,087,050.71/47,582.44
  6. Step 6: Final answer
    x = 93,019.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.