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Finding the Third Proportional to 43,008.47 and 66,430.13

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Solution

The third proportional to 43,008.47 and 66,430.13 is: 102,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,008.47 : 66,430.13 = 66,430.13 : x
  2. Step 2: Convert to fraction form
    43,008.47/66,430.13 = 66,430.13/x
  3. Step 3: Cross multiply
    43,008.47x = 66,430.13 × 66,430.13
  4. Step 4: Simplify right side
    43,008.47x = 4,412,961,507.52
  5. Step 5: Solve for x
    x = 4,412,961,507.52/43,008.47
  6. Step 6: Final answer
    x = 102,606.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.