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Finding the Third Proportional to 38,646.75 and 61,476.75

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Solution

The third proportional to 38,646.75 and 61,476.75 is: 97,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646.75 : 61,476.75 = 61,476.75 : x
  2. Step 2: Convert to fraction form
    38,646.75/61,476.75 = 61,476.75/x
  3. Step 3: Cross multiply
    38,646.75x = 61,476.75 × 61,476.75
  4. Step 4: Simplify right side
    38,646.75x = 3,779,390,790.56
  5. Step 5: Solve for x
    x = 3,779,390,790.56/38,646.75
  6. Step 6: Final answer
    x = 97,793.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.