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Finding the Third Proportional to 10,284.25 and 15,036.50

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Solution

The third proportional to 10,284.25 and 15,036.50 is: 21,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.25 : 15,036.50 = 15,036.50 : x
  2. Step 2: Convert to fraction form
    10,284.25/15,036.50 = 15,036.50/x
  3. Step 3: Cross multiply
    10,284.25x = 15,036.50 × 15,036.50
  4. Step 4: Simplify right side
    10,284.25x = 226,096,332.25
  5. Step 5: Solve for x
    x = 226,096,332.25/10,284.25
  6. Step 6: Final answer
    x = 21,984.72

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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.