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Finding the Third Proportional to 14,352 and 30,901.50

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Solution

The third proportional to 14,352 and 30,901.50 is: 66,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352 : 30,901.50 = 30,901.50 : x
  2. Step 2: Convert to fraction form
    14,352/30,901.50 = 30,901.50/x
  3. Step 3: Cross multiply
    14,352x = 30,901.50 × 30,901.50
  4. Step 4: Simplify right side
    14,352x = 954,902,702.25
  5. Step 5: Solve for x
    x = 954,902,702.25/14,352
  6. Step 6: Final answer
    x = 66,534.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.