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Finding the Third Proportional to 42,595 and 64,486

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Solution

The third proportional to 42,595 and 64,486 is: 97,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,595 : 64,486 = 64,486 : x
  2. Step 2: Convert to fraction form
    42,595/64,486 = 64,486/x
  3. Step 3: Cross multiply
    42,595x = 64,486 × 64,486
  4. Step 4: Simplify right side
    42,595x = 4,158,444,196
  5. Step 5: Solve for x
    x = 4,158,444,196/42,595
  6. Step 6: Final answer
    x = 97,627.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.