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Finding the Third Proportional to 46,747.13 and 84,700.69

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Solution

The third proportional to 46,747.13 and 84,700.69 is: 153,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.13 : 84,700.69 = 84,700.69 : x
  2. Step 2: Convert to fraction form
    46,747.13/84,700.69 = 84,700.69/x
  3. Step 3: Cross multiply
    46,747.13x = 84,700.69 × 84,700.69
  4. Step 4: Simplify right side
    46,747.13x = 7,174,206,462.97
  5. Step 5: Solve for x
    x = 7,174,206,462.97/46,747.13
  6. Step 6: Final answer
    x = 153,468.40

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.