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Finding the Third Proportional to 6,869.81 and 14,828.06

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Solution

The third proportional to 6,869.81 and 14,828.06 is: 32,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.81 : 14,828.06 = 14,828.06 : x
  2. Step 2: Convert to fraction form
    6,869.81/14,828.06 = 14,828.06/x
  3. Step 3: Cross multiply
    6,869.81x = 14,828.06 × 14,828.06
  4. Step 4: Simplify right side
    6,869.81x = 219,871,437.50
  5. Step 5: Solve for x
    x = 219,871,437.50/6,869.81
  6. Step 6: Final answer
    x = 32,005.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.