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Finding the Third Proportional to 30,702.94 and 45,864.28

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Solution

The third proportional to 30,702.94 and 45,864.28 is: 68,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.94 : 45,864.28 = 45,864.28 : x
  2. Step 2: Convert to fraction form
    30,702.94/45,864.28 = 45,864.28/x
  3. Step 3: Cross multiply
    30,702.94x = 45,864.28 × 45,864.28
  4. Step 4: Simplify right side
    30,702.94x = 2,103,532,294.58
  5. Step 5: Solve for x
    x = 2,103,532,294.58/30,702.94
  6. Step 6: Final answer
    x = 68,512.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.