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Finding the Third Proportional to 47,915 and 73,547

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Solution

The third proportional to 47,915 and 73,547 is: 112,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,915 : 73,547 = 73,547 : x
  2. Step 2: Convert to fraction form
    47,915/73,547 = 73,547/x
  3. Step 3: Cross multiply
    47,915x = 73,547 × 73,547
  4. Step 4: Simplify right side
    47,915x = 5,409,161,209
  5. Step 5: Solve for x
    x = 5,409,161,209/47,915
  6. Step 6: Final answer
    x = 112,890.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.