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Finding the Third Proportional to 46,952 and 70,432

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Solution

The third proportional to 46,952 and 70,432 is: 105,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952 : 70,432 = 70,432 : x
  2. Step 2: Convert to fraction form
    46,952/70,432 = 70,432/x
  3. Step 3: Cross multiply
    46,952x = 70,432 × 70,432
  4. Step 4: Simplify right side
    46,952x = 4,960,666,624
  5. Step 5: Solve for x
    x = 4,960,666,624/46,952
  6. Step 6: Final answer
    x = 105,654.00

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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.