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Finding the Third Proportional to 30,398 and 44,547

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Solution

The third proportional to 30,398 and 44,547 is: 65,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398 : 44,547 = 44,547 : x
  2. Step 2: Convert to fraction form
    30,398/44,547 = 44,547/x
  3. Step 3: Cross multiply
    30,398x = 44,547 × 44,547
  4. Step 4: Simplify right side
    30,398x = 1,984,435,209
  5. Step 5: Solve for x
    x = 1,984,435,209/30,398
  6. Step 6: Final answer
    x = 65,281.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.