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Finding the Third Proportional to 42,588 and 64,476

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Solution

The third proportional to 42,588 and 64,476 is: 97,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,588 : 64,476 = 64,476 : x
  2. Step 2: Convert to fraction form
    42,588/64,476 = 64,476/x
  3. Step 3: Cross multiply
    42,588x = 64,476 × 64,476
  4. Step 4: Simplify right side
    42,588x = 4,157,154,576
  5. Step 5: Solve for x
    x = 4,157,154,576/42,588
  6. Step 6: Final answer
    x = 97,613.28

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