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Finding the Third Proportional to 32,352 and 48,528

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Solution

The third proportional to 32,352 and 48,528 is: 72,792

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352 : 48,528 = 48,528 : x
  2. Step 2: Convert to fraction form
    32,352/48,528 = 48,528/x
  3. Step 3: Cross multiply
    32,352x = 48,528 × 48,528
  4. Step 4: Simplify right side
    32,352x = 2,354,966,784
  5. Step 5: Solve for x
    x = 2,354,966,784/32,352
  6. Step 6: Final answer
    x = 72,792

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.