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Finding the Third Proportional to 28,803 and 47,033

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Solution

The third proportional to 28,803 and 47,033 is: 76,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,803 : 47,033 = 47,033 : x
  2. Step 2: Convert to fraction form
    28,803/47,033 = 47,033/x
  3. Step 3: Cross multiply
    28,803x = 47,033 × 47,033
  4. Step 4: Simplify right side
    28,803x = 2,212,103,089
  5. Step 5: Solve for x
    x = 2,212,103,089/28,803
  6. Step 6: Final answer
    x = 76,801.13

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.