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Finding the Third Proportional to 7,803.84 and 14,688.84

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Solution

The third proportional to 7,803.84 and 14,688.84 is: 27,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.84 : 14,688.84 = 14,688.84 : x
  2. Step 2: Convert to fraction form
    7,803.84/14,688.84 = 14,688.84/x
  3. Step 3: Cross multiply
    7,803.84x = 14,688.84 × 14,688.84
  4. Step 4: Simplify right side
    7,803.84x = 215,762,130.71
  5. Step 5: Solve for x
    x = 215,762,130.71/7,803.84
  6. Step 6: Final answer
    x = 27,648.19

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.