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Finding the Third Proportional to 32,312 and 47,402

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Solution

The third proportional to 32,312 and 47,402 is: 69,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312 : 47,402 = 47,402 : x
  2. Step 2: Convert to fraction form
    32,312/47,402 = 47,402/x
  3. Step 3: Cross multiply
    32,312x = 47,402 × 47,402
  4. Step 4: Simplify right side
    32,312x = 2,246,949,604
  5. Step 5: Solve for x
    x = 2,246,949,604/32,312
  6. Step 6: Final answer
    x = 69,539.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.