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Finding the Third Proportional to 30,972 and 46,528

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Solution

The third proportional to 30,972 and 46,528 is: 69,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972 : 46,528 = 46,528 : x
  2. Step 2: Convert to fraction form
    30,972/46,528 = 46,528/x
  3. Step 3: Cross multiply
    30,972x = 46,528 × 46,528
  4. Step 4: Simplify right side
    30,972x = 2,164,854,784
  5. Step 5: Solve for x
    x = 2,164,854,784/30,972
  6. Step 6: Final answer
    x = 69,897.16

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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.