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Finding the Third Proportional to 47,962.13 and 75,071.81

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Solution

The third proportional to 47,962.13 and 75,071.81 is: 117,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,962.13 : 75,071.81 = 75,071.81 : x
  2. Step 2: Convert to fraction form
    47,962.13/75,071.81 = 75,071.81/x
  3. Step 3: Cross multiply
    47,962.13x = 75,071.81 × 75,071.81
  4. Step 4: Simplify right side
    47,962.13x = 5,635,777,032.04
  5. Step 5: Solve for x
    x = 5,635,777,032.04/47,962.13
  6. Step 6: Final answer
    x = 117,504.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.