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Finding the Third Proportional to 7,215 and 11,275.50

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Solution

The third proportional to 7,215 and 11,275.50 is: 17,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215 : 11,275.50 = 11,275.50 : x
  2. Step 2: Convert to fraction form
    7,215/11,275.50 = 11,275.50/x
  3. Step 3: Cross multiply
    7,215x = 11,275.50 × 11,275.50
  4. Step 4: Simplify right side
    7,215x = 127,136,900.25
  5. Step 5: Solve for x
    x = 127,136,900.25/7,215
  6. Step 6: Final answer
    x = 17,621.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.