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Finding the Third Proportional to 44,532 and 63,789

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Solution

The third proportional to 44,532 and 63,789 is: 91,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,532 : 63,789 = 63,789 : x
  2. Step 2: Convert to fraction form
    44,532/63,789 = 63,789/x
  3. Step 3: Cross multiply
    44,532x = 63,789 × 63,789
  4. Step 4: Simplify right side
    44,532x = 4,069,036,521
  5. Step 5: Solve for x
    x = 4,069,036,521/44,532
  6. Step 6: Final answer
    x = 91,373.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.