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Finding the Third Proportional to 10,585.50 and 15,561.50

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Solution

The third proportional to 10,585.50 and 15,561.50 is: 22,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.50 : 15,561.50 = 15,561.50 : x
  2. Step 2: Convert to fraction form
    10,585.50/15,561.50 = 15,561.50/x
  3. Step 3: Cross multiply
    10,585.50x = 15,561.50 × 15,561.50
  4. Step 4: Simplify right side
    10,585.50x = 242,160,282.25
  5. Step 5: Solve for x
    x = 242,160,282.25/10,585.50
  6. Step 6: Final answer
    x = 22,876.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.