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Finding the Third Proportional to 25,335 and 55,130

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Solution

The third proportional to 25,335 and 55,130 is: 119,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335 : 55,130 = 55,130 : x
  2. Step 2: Convert to fraction form
    25,335/55,130 = 55,130/x
  3. Step 3: Cross multiply
    25,335x = 55,130 × 55,130
  4. Step 4: Simplify right side
    25,335x = 3,039,316,900
  5. Step 5: Solve for x
    x = 3,039,316,900/25,335
  6. Step 6: Final answer
    x = 119,965.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.