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Finding the Third Proportional to 44,349.75 and 98,541

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Solution

The third proportional to 44,349.75 and 98,541 is: 218,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,349.75 : 98,541 = 98,541 : x
  2. Step 2: Convert to fraction form
    44,349.75/98,541 = 98,541/x
  3. Step 3: Cross multiply
    44,349.75x = 98,541 × 98,541
  4. Step 4: Simplify right side
    44,349.75x = 9,710,328,681
  5. Step 5: Solve for x
    x = 9,710,328,681/44,349.75
  6. Step 6: Final answer
    x = 218,948.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.