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Finding the Third Proportional to 10,095.19 and 14,420.81

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Solution

The third proportional to 10,095.19 and 14,420.81 is: 20,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.19 : 14,420.81 = 14,420.81 : x
  2. Step 2: Convert to fraction form
    10,095.19/14,420.81 = 14,420.81/x
  3. Step 3: Cross multiply
    10,095.19x = 14,420.81 × 14,420.81
  4. Step 4: Simplify right side
    10,095.19x = 207,959,833.16
  5. Step 5: Solve for x
    x = 207,959,833.16/10,095.19
  6. Step 6: Final answer
    x = 20,599.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.