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Finding the Third Proportional to 24,652.69 and 53,907.19

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Solution

The third proportional to 24,652.69 and 53,907.19 is: 117,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.69 : 53,907.19 = 53,907.19 : x
  2. Step 2: Convert to fraction form
    24,652.69/53,907.19 = 53,907.19/x
  3. Step 3: Cross multiply
    24,652.69x = 53,907.19 × 53,907.19
  4. Step 4: Simplify right side
    24,652.69x = 2,905,984,864.16
  5. Step 5: Solve for x
    x = 2,905,984,864.16/24,652.69
  6. Step 6: Final answer
    x = 117,877.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.