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Finding the Third Proportional to 7,461 and 9,721.50

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Solution

The third proportional to 7,461 and 9,721.50 is: 12,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 9,721.50 = 9,721.50 : x
  2. Step 2: Convert to fraction form
    7,461/9,721.50 = 9,721.50/x
  3. Step 3: Cross multiply
    7,461x = 9,721.50 × 9,721.50
  4. Step 4: Simplify right side
    7,461x = 94,507,562.25
  5. Step 5: Solve for x
    x = 94,507,562.25/7,461
  6. Step 6: Final answer
    x = 12,666.88

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.