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Finding the Third Proportional to 25,927 and 56,547

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Solution

The third proportional to 25,927 and 56,547 is: 123,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,927 : 56,547 = 56,547 : x
  2. Step 2: Convert to fraction form
    25,927/56,547 = 56,547/x
  3. Step 3: Cross multiply
    25,927x = 56,547 × 56,547
  4. Step 4: Simplify right side
    25,927x = 3,197,563,209
  5. Step 5: Solve for x
    x = 3,197,563,209/25,927
  6. Step 6: Final answer
    x = 123,329.47

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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.