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Finding the Third Proportional to 10,303 and 22,585

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Solution

The third proportional to 10,303 and 22,585 is: 49,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303 : 22,585 = 22,585 : x
  2. Step 2: Convert to fraction form
    10,303/22,585 = 22,585/x
  3. Step 3: Cross multiply
    10,303x = 22,585 × 22,585
  4. Step 4: Simplify right side
    10,303x = 510,082,225
  5. Step 5: Solve for x
    x = 510,082,225/10,303
  6. Step 6: Final answer
    x = 49,508.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.