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Finding the Third Proportional to 45,877 and 64,603

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Solution

The third proportional to 45,877 and 64,603 is: 90,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,877 : 64,603 = 64,603 : x
  2. Step 2: Convert to fraction form
    45,877/64,603 = 64,603/x
  3. Step 3: Cross multiply
    45,877x = 64,603 × 64,603
  4. Step 4: Simplify right side
    45,877x = 4,173,547,609
  5. Step 5: Solve for x
    x = 4,173,547,609/45,877
  6. Step 6: Final answer
    x = 90,972.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.