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Finding the Third Proportional to 2,465 and 5,705

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Solution

The third proportional to 2,465 and 5,705 is: 13,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465 : 5,705 = 5,705 : x
  2. Step 2: Convert to fraction form
    2,465/5,705 = 5,705/x
  3. Step 3: Cross multiply
    2,465x = 5,705 × 5,705
  4. Step 4: Simplify right side
    2,465x = 32,547,025
  5. Step 5: Solve for x
    x = 32,547,025/2,465
  6. Step 6: Final answer
    x = 13,203.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.