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Finding the Third Proportional to 32,032.13 and 47,871

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Solution

The third proportional to 32,032.13 and 47,871 is: 71,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.13 : 47,871 = 47,871 : x
  2. Step 2: Convert to fraction form
    32,032.13/47,871 = 47,871/x
  3. Step 3: Cross multiply
    32,032.13x = 47,871 × 47,871
  4. Step 4: Simplify right side
    32,032.13x = 2,291,632,641
  5. Step 5: Solve for x
    x = 2,291,632,641/32,032.13
  6. Step 6: Final answer
    x = 71,541.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.