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Finding the Third Proportional to 30,167.63 and 39,670.50

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Solution

The third proportional to 30,167.63 and 39,670.50 is: 52,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167.63 : 39,670.50 = 39,670.50 : x
  2. Step 2: Convert to fraction form
    30,167.63/39,670.50 = 39,670.50/x
  3. Step 3: Cross multiply
    30,167.63x = 39,670.50 × 39,670.50
  4. Step 4: Simplify right side
    30,167.63x = 1,573,748,570.25
  5. Step 5: Solve for x
    x = 1,573,748,570.25/30,167.63
  6. Step 6: Final answer
    x = 52,166.80

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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.