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Finding the Third Proportional to 44,973 and 64,779

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Solution

The third proportional to 44,973 and 64,779 is: 93,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,973 : 64,779 = 64,779 : x
  2. Step 2: Convert to fraction form
    44,973/64,779 = 64,779/x
  3. Step 3: Cross multiply
    44,973x = 64,779 × 64,779
  4. Step 4: Simplify right side
    44,973x = 4,196,318,841
  5. Step 5: Solve for x
    x = 4,196,318,841/44,973
  6. Step 6: Final answer
    x = 93,307.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.