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Finding the Third Proportional to 63,430.75 and 83,426.63

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Solution

The third proportional to 63,430.75 and 83,426.63 is: 109,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,430.75 : 83,426.63 = 83,426.63 : x
  2. Step 2: Convert to fraction form
    63,430.75/83,426.63 = 83,426.63/x
  3. Step 3: Cross multiply
    63,430.75x = 83,426.63 × 83,426.63
  4. Step 4: Simplify right side
    63,430.75x = 6,960,001,758.89
  5. Step 5: Solve for x
    x = 6,960,001,758.89/63,430.75
  6. Step 6: Final answer
    x = 109,725.99

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.