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Finding the Third Proportional to 27,652.50 and 42,528

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Solution

The third proportional to 27,652.50 and 42,528 is: 65,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.50 : 42,528 = 42,528 : x
  2. Step 2: Convert to fraction form
    27,652.50/42,528 = 42,528/x
  3. Step 3: Cross multiply
    27,652.50x = 42,528 × 42,528
  4. Step 4: Simplify right side
    27,652.50x = 1,808,630,784
  5. Step 5: Solve for x
    x = 1,808,630,784/27,652.50
  6. Step 6: Final answer
    x = 65,405.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.