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Finding the Third Proportional to 47,655 and 70,004.25

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Solution

The third proportional to 47,655 and 70,004.25 is: 102,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,655 : 70,004.25 = 70,004.25 : x
  2. Step 2: Convert to fraction form
    47,655/70,004.25 = 70,004.25/x
  3. Step 3: Cross multiply
    47,655x = 70,004.25 × 70,004.25
  4. Step 4: Simplify right side
    47,655x = 4,900,595,018.06
  5. Step 5: Solve for x
    x = 4,900,595,018.06/47,655
  6. Step 6: Final answer
    x = 102,834.86

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Why These Related Problems?

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