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Finding the Third Proportional to 29,480 and 38,316

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Solution

The third proportional to 29,480 and 38,316 is: 49,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,480 : 38,316 = 38,316 : x
  2. Step 2: Convert to fraction form
    29,480/38,316 = 38,316/x
  3. Step 3: Cross multiply
    29,480x = 38,316 × 38,316
  4. Step 4: Simplify right side
    29,480x = 1,468,115,856
  5. Step 5: Solve for x
    x = 1,468,115,856/29,480
  6. Step 6: Final answer
    x = 49,800.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.