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Finding the Third Proportional to 10,716.75 and 15,655.50

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Solution

The third proportional to 10,716.75 and 15,655.50 is: 22,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.75 : 15,655.50 = 15,655.50 : x
  2. Step 2: Convert to fraction form
    10,716.75/15,655.50 = 15,655.50/x
  3. Step 3: Cross multiply
    10,716.75x = 15,655.50 × 15,655.50
  4. Step 4: Simplify right side
    10,716.75x = 245,094,680.25
  5. Step 5: Solve for x
    x = 245,094,680.25/10,716.75
  6. Step 6: Final answer
    x = 22,870.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.