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Finding the Third Proportional to 27,064.13 and 40,647.45

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Solution

The third proportional to 27,064.13 and 40,647.45 is: 61,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.13 : 40,647.45 = 40,647.45 : x
  2. Step 2: Convert to fraction form
    27,064.13/40,647.45 = 40,647.45/x
  3. Step 3: Cross multiply
    27,064.13x = 40,647.45 × 40,647.45
  4. Step 4: Simplify right side
    27,064.13x = 1,652,214,810.43
  5. Step 5: Solve for x
    x = 1,652,214,810.43/27,064.13
  6. Step 6: Final answer
    x = 61,048.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.