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Finding the Third Proportional to 28,776 and 38,646

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Solution

The third proportional to 28,776 and 38,646 is: 51,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,776 : 38,646 = 38,646 : x
  2. Step 2: Convert to fraction form
    28,776/38,646 = 38,646/x
  3. Step 3: Cross multiply
    28,776x = 38,646 × 38,646
  4. Step 4: Simplify right side
    28,776x = 1,493,513,316
  5. Step 5: Solve for x
    x = 1,493,513,316/28,776
  6. Step 6: Final answer
    x = 51,901.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.