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Finding the Third Proportional to 24,557 and 53,038

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Solution

The third proportional to 24,557 and 53,038 is: 114,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557 : 53,038 = 53,038 : x
  2. Step 2: Convert to fraction form
    24,557/53,038 = 53,038/x
  3. Step 3: Cross multiply
    24,557x = 53,038 × 53,038
  4. Step 4: Simplify right side
    24,557x = 2,813,029,444
  5. Step 5: Solve for x
    x = 2,813,029,444/24,557
  6. Step 6: Final answer
    x = 114,551.02

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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.