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Finding the Third Proportional to 53,607.81 and 78,852.44

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Solution

The third proportional to 53,607.81 and 78,852.44 is: 115,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,607.81 : 78,852.44 = 78,852.44 : x
  2. Step 2: Convert to fraction form
    53,607.81/78,852.44 = 78,852.44/x
  3. Step 3: Cross multiply
    53,607.81x = 78,852.44 × 78,852.44
  4. Step 4: Simplify right side
    53,607.81x = 6,217,706,899.69
  5. Step 5: Solve for x
    x = 6,217,706,899.69/53,607.81
  6. Step 6: Final answer
    x = 115,985.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.