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Finding the Third Proportional to 47,547 and 73,624.50

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Solution

The third proportional to 47,547 and 73,624.50 is: 114,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547 : 73,624.50 = 73,624.50 : x
  2. Step 2: Convert to fraction form
    47,547/73,624.50 = 73,624.50/x
  3. Step 3: Cross multiply
    47,547x = 73,624.50 × 73,624.50
  4. Step 4: Simplify right side
    47,547x = 5,420,567,000.25
  5. Step 5: Solve for x
    x = 5,420,567,000.25/47,547
  6. Step 6: Final answer
    x = 114,004.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.