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Finding the Third Proportional to 31,430.25 and 42,710.63

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Solution

The third proportional to 31,430.25 and 42,710.63 is: 58,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.25 : 42,710.63 = 42,710.63 : x
  2. Step 2: Convert to fraction form
    31,430.25/42,710.63 = 42,710.63/x
  3. Step 3: Cross multiply
    31,430.25x = 42,710.63 × 42,710.63
  4. Step 4: Simplify right side
    31,430.25x = 1,824,197,487.89
  5. Step 5: Solve for x
    x = 1,824,197,487.89/31,430.25
  6. Step 6: Final answer
    x = 58,039.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.