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Finding the Third Proportional to 10,280.04 and 15,496.00

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Solution

The third proportional to 10,280.04 and 15,496.00 is: 23,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.04 : 15,496.00 = 15,496.00 : x
  2. Step 2: Convert to fraction form
    10,280.04/15,496.00 = 15,496.00/x
  3. Step 3: Cross multiply
    10,280.04x = 15,496.00 × 15,496.00
  4. Step 4: Simplify right side
    10,280.04x = 240,125,894.94
  5. Step 5: Solve for x
    x = 240,125,894.94/10,280.04
  6. Step 6: Final answer
    x = 23,358.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.