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Finding the Third Proportional to 21,393 and 31,913.50

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Solution

The third proportional to 21,393 and 31,913.50 is: 47,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,393 : 31,913.50 = 31,913.50 : x
  2. Step 2: Convert to fraction form
    21,393/31,913.50 = 31,913.50/x
  3. Step 3: Cross multiply
    21,393x = 31,913.50 × 31,913.50
  4. Step 4: Simplify right side
    21,393x = 1,018,471,482.25
  5. Step 5: Solve for x
    x = 1,018,471,482.25/21,393
  6. Step 6: Final answer
    x = 47,607.70

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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.