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Finding the Third Proportional to 28,965 and 63,465

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Solution

The third proportional to 28,965 and 63,465 is: 139,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,965 : 63,465 = 63,465 : x
  2. Step 2: Convert to fraction form
    28,965/63,465 = 63,465/x
  3. Step 3: Cross multiply
    28,965x = 63,465 × 63,465
  4. Step 4: Simplify right side
    28,965x = 4,027,806,225
  5. Step 5: Solve for x
    x = 4,027,806,225/28,965
  6. Step 6: Final answer
    x = 139,057.70

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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.