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Finding the Third Proportional to 29,178.50 and 42,492

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Solution

The third proportional to 29,178.50 and 42,492 is: 61,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178.50 : 42,492 = 42,492 : x
  2. Step 2: Convert to fraction form
    29,178.50/42,492 = 42,492/x
  3. Step 3: Cross multiply
    29,178.50x = 42,492 × 42,492
  4. Step 4: Simplify right side
    29,178.50x = 1,805,570,064
  5. Step 5: Solve for x
    x = 1,805,570,064/29,178.50
  6. Step 6: Final answer
    x = 61,880.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.