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Finding the Third Proportional to 25,160 and 53,317

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Solution

The third proportional to 25,160 and 53,317 is: 112,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,160 : 53,317 = 53,317 : x
  2. Step 2: Convert to fraction form
    25,160/53,317 = 53,317/x
  3. Step 3: Cross multiply
    25,160x = 53,317 × 53,317
  4. Step 4: Simplify right side
    25,160x = 2,842,702,489
  5. Step 5: Solve for x
    x = 2,842,702,489/25,160
  6. Step 6: Final answer
    x = 112,985.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.