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Finding the Third Proportional to 46,564.13 and 71,346.94

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Solution

The third proportional to 46,564.13 and 71,346.94 is: 109,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,564.13 : 71,346.94 = 71,346.94 : x
  2. Step 2: Convert to fraction form
    46,564.13/71,346.94 = 71,346.94/x
  3. Step 3: Cross multiply
    46,564.13x = 71,346.94 × 71,346.94
  4. Step 4: Simplify right side
    46,564.13x = 5,090,385,490.63
  5. Step 5: Solve for x
    x = 5,090,385,490.63/46,564.13
  6. Step 6: Final answer
    x = 109,319.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.